you're probably looking at a trailer rated at 10,400. (two 5200 lbs axles)

figure 3500lbs for the trailer leaves you about 6900 lbs of capacity in the trailer. a tick under 3.5 tons of cargo room.

assuming it is a bumper pull type, and not a gooseneck, you are in the range of 10% tongue weight, or bout 1000 lbs. (minimum)

assuming the max tow package, your hitch and truck would be rated to about 11,200 lbs (depending on configuration) with the use of a weight distributing system (mandatory).

to get an exact answer, you really need to scale your truck and get the true curb weight. without having that available, it is really just a guess. but ... as a guess ... unless you load the truck to the hilt, and have 6 people on board, i doubt you would go beyond GVWR on the truck. the max tow raises the GVWR somewhat to allow hauling a trailer with 1100lbs tongue weight, with a reasonable payload otherwise.

If loading the truck heavy is the plan, then you should consider the max payload package as well.