plus if you did not get the factory tow package that 6000 lb trailer will cook your trans.. You will need to install a large trans cooler..
Nice to have the 130 amp alt too as well as electronic sway control..
Also payloads hover around 1300 for thos trucks.. add gas people and cargo and it goes down... So you will be at the limits..
Like my set up I only have 500 lbs left for payload. I have only a 420lb tounge weight though and a 4400lb camper..
From toyota..
Class-IV towing receiver hitch, transmission (automatic transmission only) cooler, engine oil cooler, 130-amp alternator, heavy-duty battery, 7-pin connector with converter and Trailer-Sway Control (TSC) 34