One problem related to oil pump has been reported for the 2013 Hyundai Elantra. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2013 Hyundai Elantra based on all problems reported for the 2013 Elantra.
I bought a 2013 Hyundai Elantra limited new. 3 years later the car stalls out when stopped and it difficult to start. Have taken the car to the dealership so many times (10) within a 2 month period, I use the loaner more than my own car. The last time I picked it up they had changed out the timing cover with oil pump, cam shaft and timing chain. Called me to come pick my vehicle up as it was ready. When exiting the dealership, I came to the stop light and the car stalled once again with it being difficult to start. Turned around and the vehicle would not drive faster than 20 mph. The service manager came out and asked what was wrong. I asked him to get in the vehicle that they had just fixed. He drove it and they now have my car once again and I'm driving the loaner. They can't seem to find out what the problem is and say they keep calling the manufacturer for input. Apparently no one knows what is wrong and I will not buy another Hyundai as it seems they can't repair their vehicles with these similar problems.