diff --git a/PIL/OleFileIO.py b/PIL/OleFileIO.py
index 108a9693a..d13bcb0a9 100644
--- a/PIL/OleFileIO.py
+++ b/PIL/OleFileIO.py
@@ -224,6 +224,7 @@ import io
 import sys
 from PIL import _binary
 import struct, array, os.path, datetime
+from functools import total_ordering
 
 #[PL] Define explicitly the public API to avoid private objects in pydoc:
 __all__ = ['OleFileIO', 'isOleFile']
@@ -706,6 +707,7 @@ class _OleStream(io.BytesIO):
 
 #--- _OleDirectoryEntry -------------------------------------------------------
 
+@total_ordering
 class _OleDirectoryEntry:
 
     """
@@ -851,7 +853,7 @@ class _OleDirectoryEntry:
 
             # in the OLE file, entries are sorted on (length, name).
             # for convenience, we sort them on name instead:
-            # (see __cmp__ method in this class)
+            # (see rich comparison methods in this class)
             self.kids.sort()
 
 
@@ -899,11 +901,14 @@ class _OleDirectoryEntry:
         child.build_storage_tree()
 
 
-    def __cmp__(self, other):
+    def __eq__(self, other):
         "Compare entries by name"
-        return cmp(self.name, other.name)
-        #TODO: replace by the same function as MS implementation ?
-        # (order by name length first, then case-insensitive order)
+        return self.name == other.name
+    def __lt__(self, other):
+        "Compare entries by name"
+        return self.name < other.name
+    #TODO: replace by the same function as MS implementation ?
+    # (order by name length first, then case-insensitive order)
 
 
     def dump(self, tab = 0):