Normally towing should not induce any extra wear on your vehicle, in some cases a transmission cooler is recommended to keep the Transmission Fluid at an appropriate temperature. However, the Honda Odyssey has many recorded problems with the transmission failing early. Some are fortunate enough to have it fail withing warranty, I have a friend who is on his third transmission in under 120k miles. So I would not recomend towing with your Odyssey. Adding extra weight for your van to tow will shorten the life of your transmission even further on this particular vehicle. A quick search on the problems of the transmission on this vehicle, including a class action lawsuit for certain years that extended the warranty.
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1000lbs
I believe they are all 1000lbs.
The 2001 Honda Odyssey has 24 valves.
The 2001 Honda Odyssey has a V6 engine.
The 2001 Honda Odyssey is a gas-powered vehicle.
The 2001 Honda Odyssey has a 4-speed automatic.
The towing capacity is 5000 lbs.
The 2001 Honda Odyssey's turning circle is 37.7 ft..
The height of the 2001 Honda Odyssey is 5 ft. 8.5 in. (68.5 in.).
The 2001 Honda Odyssey is 16 ft. 9.2 in. (201.2 in.) long.
The 2001 Honda Odyssey has single overhead cam (SOHC).