There are 2 factory hitches. Both my V6 and V8 had the base x-member mounted hitch which is rated for 500lb tongue and 5000lb max weight and not recommended for use with weight distributing hitches (the tension can twist the x-member and bend the frame and is not repairable - likely to happen with the size trailer you are looking at) The other is frame mounted to the rails and has the higher ratings. Not sure what V8 models it came standard on. Good aftermarket hitches are about $150 and easy to install.
As for tires, if you have the standard Cross Terrains they will not handle the weight either. They have a max psi of 35 which leaves a very soft sidewall. My T4R sways slightly with my 20' 3500lb trailer because of the "squishy" tires. Pretty sure the stock Dunflops are the same. You'll need a stiffer sidewall tire with a higher load rating to tow that weight safer.
Personally I wouldn't do it, but if you do a good hitch with sway control (Equilizer is popular) and a brake controller (Tekonsha Prodigy or P3) come highly recommended.