One problem related to other fuel system pump has been reported for the 2013 Lexus ES350. The most recently reported issues are listed below.
Fuel pump does not turn off intermittently after ignition is turned off. On multiple occasions the vehicle was stationary, parked in the garage, ignition off. Upon going back into garage I notice a load humming noise coming from the underside of the vehicle. After hitting the lock button on the key phob the sound stopped. The issue is getting worse. On 12/72015 after energizing the lock / unlock function on the key phob the fuel pump did not turn off as it did in the past. I had to start the vehicle and turn it off to stop the fuel pump from constantly running. Since this vehicle was purchased this has happened multiple times draining down the battery on multiple occasions. At first we thought that maybe we left an accessory on but after careful examination there is no question that the fuel pump continues to run intermittently after the vehicle is turned off. Please note that I am a mechanic and do have a vast knowledge of today's vehicle technologies systems. This is clearly a safety issue should the fuel pump continue to run in an accident or an issue occurs with an unattended vehicle and the fuel pump continues to run. I have a video with sound documenting my last experience but the file is to large got upload.