That's depends as axle ratings vary but a trailer with 10k in cargo capacity will either have 2 or 3 axles depending on configuration and potentially dual tires.
The bigger concern with that kind of weight is the tongue weight. Just the trailer alone with 10k of payload might weigh 5k, bringing your total to 15k. Then, the general rule of thumb is 10-15% of total weight as tongue weight to prevent sway. This brings you to somewhere between 1500lbs and 2250lbs on the tongue which is squarely in 3/4 or 1 ton truck with class V hitch territory. Even then one would need to carefully ensure you're not exceeding the axle weight ratings of the tow vehicle with.