One problem related to water pump has been reported for the 2013 Audi A6. The most recently reported issues are listed below. Please also check out the statistics and reliability analysis of the 2013 Audi A6 based on all problems reported for the 2013 A6.
Vehicle began shaking, driving very rough and check engine light came and epc lights came on the dash. Car was not drivable. This happened less than two months after I had the water pump replaced for leakage and failure (which has now been recalled). I believe the two are connected, but Audi charged me a to replace the engine. I feel that the engine failure was a direct link to the issue with the pump.