diff --git a/.github/workflows/python-package.yml b/.github/workflows/python-package.yml
index be6a7228..abd387cf 100644
--- a/.github/workflows/python-package.yml
+++ b/.github/workflows/python-package.yml
@@ -38,6 +38,7 @@ jobs:
           - {python-version: '3.10', os: windows-2019}
           - {python-version: '3.11', os: windows-2019}
           - {python-version: '3.12', os: windows-2019}
+          - {python-version: '3.13', os: windows-2019}
     steps:
       - uses: actions/checkout@v2
 
@@ -78,6 +79,9 @@ jobs:
           # - {python-version: '3.8', os: windows-2019}
           # - {python-version: '3.9', os: windows-2019}
           # - {python-version: '3.10', os: windows-2019}
+          # - {python-version: '3.11', os: windows-2019}
+          # - {python-version: '3.12', os: windows-2019}
+          # - {python-version: '3.13', os: windows-2019}
 
     steps:
       - uses: actions/checkout@v2
@@ -114,6 +118,9 @@ jobs:
           # - {python-version: '3.8', os: windows-2019}
           # - {python-version: '3.9', os: windows-2019}
           # - {python-version: '3.10', os: windows-2019}
+          # - {python-version: '3.11', os: windows-2019}
+          # - {python-version: '3.12', os: windows-2019}
+          # - {python-version: '3.13', os: windows-2019}
 
     steps:
       - uses: actions/checkout@v2
@@ -162,6 +169,9 @@ jobs:
           # - {python-version: '3.8', os: windows-2019}
           # - {python-version: '3.9', os: windows-2019}
           # - {python-version: '3.10', os: windows-2019}
+          # - {python-version: '3.11', os: windows-2019}
+          # - {python-version: '3.12', os: windows-2019}
+          # - {python-version: '3.13', os: windows-2019}
 
     steps:
       - uses: actions/checkout@v2
diff --git a/smart_open/azure.py b/smart_open/azure.py
index 1c991f05..ef072329 100644
--- a/smart_open/azure.py
+++ b/smart_open/azure.py
@@ -394,19 +394,17 @@ def __init__(
     ):
         self._is_closed = False
         self._container_name = container
-
-        self._blob = _get_blob_client(client, container, blob)
         self._blob_kwargs = blob_kwargs or {}
-        # type: azure.storage.blob.BlobClient
-
         self._min_part_size = min_part_size
-
         self._total_size = 0
         self._total_parts = 0
         self._bytes_uploaded = 0
         self._current_part = io.BytesIO()
         self._block_list = []
 
+        # type: azure.storage.blob.BlobClient
+        self._blob = _get_blob_client(client, container, blob)
+
         #
         # This member is part of the io.BufferedIOBase interface.
         #
@@ -535,6 +533,7 @@ def __repr__(self):
         return "%s(container=%r, blob=%r, min_part_size=%r)" % (
             self.__class__.__name__,
             self._container_name,
-            self._blob.blob_name,
+            # python 3.13 calls __repr__ during error handling of exception in __init__
+            self._blob.blob_name if hasattr(self, "_blob") else "failed_init",
             self._min_part_size
         )
diff --git a/smart_open/hdfs.py b/smart_open/hdfs.py
index a247d3e3..083e793f 100644
--- a/smart_open/hdfs.py
+++ b/smart_open/hdfs.py
@@ -78,12 +78,18 @@ def __init__(self, uri):
         #
         self.raw = None
 
+    @property
+    def closed(self):
+        return self._sub is None
+
     #
     # Override some methods from io.IOBase.
     #
     def close(self):
         """Flush and close this stream."""
         logger.debug("close: called")
+        if self.closed:
+            return
         self._sub.terminate()
         self._sub = None
 
@@ -135,10 +141,17 @@ def __init__(self, uri):
         #
         self.raw = None
 
+    @property
+    def closed(self):
+        return self._sub is None
+
     def close(self):
+        if self.closed:
+            return
         self.flush()
         self._sub.stdin.close()
         self._sub.wait()
+        self._sub = None
 
     def flush(self):
         self._sub.stdin.flush()