Two problems related to transfer case have been reported for the 2013 Dodge Durango. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2013 Dodge Durango based on all problems reported for the 2013 Durango.
Around January of 2018 my 2013 Durango r/t 4wd low light starting blinking while driving on the highway, pulled over to try and get it to turn off by placing in neutral and turing off. This fixed it and began to drive again on the highway and the light turned back on, no check engine light ever came on. Took the truck to one of the local Dodge dealerships and they stated that the vehicle was in working condition and meeting manufacture specification. Then again in August 2018, my transfer case started to make a ticking noise and would engage into low by itself when taking turns and no dash light warning. This time I took it to a local driveline shop and they identified that the transfer case needed to be rebuilt and that it burnt out the transfer case motor. The transfer case would not engage in 4wd low by using the switch but would engage on its own. Still, no check engine light or notification that the transfer case motor was in operational. Additionally, when I took the truck in for the 4wd low issue, I had them look at the rpm gauge and radio. The rpm gauge would just bounce and hesitate when accelerating and the radio would just change stations by itself. After inspection by the local Dodge dealership, they stated that they see the issue with the rpm gauge and radio, but since the vehicle is meeting all manufacture specification they are unable to do anything.
In the awd version of the Durango the SUV will shift into awd low while the car is in motion without the control knob being turned. The car will flash the low light and then shift into awd low. The car will not come out of awd low at all. This issue randomly occurs. We have taken the car to the dealership three times to have them look at this issue. They have replaced the transfer case and the sensor and the issue still is occurring with the car. The issue will occur with the car in motion or in park and is at random times. The car will not come out of awd low when following the manufacture directions, it will come out of low at random times or not at all.