One problem related to engine exhaust system has been reported for the 2013 BMW 528. The most recently reported issues are listed below.
Car was giving the powertrain service message, while driving it would start to power down the car apart of built in mechanism. Took to BMW dealership to have looked at. They came back to me and informed me that the timing chain links were folding over on itself, and the chain was confirmed to have excessive play. Timing chain guides have failed, causing exhaust camshaft to unsync from crankshaft. Can cause catastrophic failure if valves contact piston. Recommendation is to replace entire motor at cost just under $15,000. Car is under 7 years old with 98,000 miles on it. Warranty was "extended" to cover this issue in 2018 out to 7 years, 70,000 miles. This has occured throughout spring of 2020.