Hello Ronald, thanks for reaching out. The best thing to do here will be to use the Hayes Air Actuated Trailer Brake Controller # HA100400C. This will allow you to control the electric brakes on your 5th wheel with your 2013 Peterbilt 337 day cab with air brakes.
You will also need to wire the Peterbilt with its own 7-way. For that use the Curt Powered Tail Light Converter # C59236 and the Universal Installation Kit # ETBC7. This will have everything you need to wire a 7-way. This kit... view full answer...
The Prodigy P3 part # 90195 would be a simple and easy solution for your truck to control the electric brakes of your trailer. This is what we normally recommend for your exact situation nearly every time. view full answer...