After going down a multi-hour research rabbit hole, we finally realized the mysterious Konica Zoom 1135N is basically a renamed Z-Up 110VP with subtle cosmetic changes and no date imprinting option. It's a great little camera with a number of handy features (eg backlight compensation, flash cancel, exposure compensation, and force infinity focus) and a 38-110mm zoom range. In addition, it meters a broad range of film speeds (ISO 25-3200) so it's a good choice for people who like the option of shooting with specialty films like Kodak TMax P3200.
This camera requires a CR123 lithium battery (available as an option).
Condition notes The camera was tested with a battery and film installed and performed well (the film was not developed). We verified the camera's focus accuracy on an autocollimator. The camera is in excellent cosmetic condition (see photos).