The truck's tow rating is correct but it's not that simple. You have to use your head and figure out the other ratings like payload and axle weights.
There are many different kinds of trailers: flat bed, dump, horse, cargo, boat, equipment, cattle, and RV. They all have their differences. A hard sided RV trailer is by far the most challenging. They have a huge frontal area, a high percentage of tongue weight, a large side "sail" area to catch wind, and very limited ability to adjust the weight balance. The same truck that might pull an 8,000 pound boat very well might be a struggling hand full with a 6,000 pound RV.
So, yes, your truck can pull 11,500 pounds. If that's a flatbed load of bricks or a dump trailer load of gravel you're probably fine. If you're talking about a hard sided RV I wouldn't even want to tow 9,000 pounds with a 1500 series truck.