...This handy bash script helps you to backup and restore the last modified timestamp for folders recursively.
If you want to use an android native app, there's File Timestamp, however the txt format is different.
https://play.google.com/store/apps/details?id=br.com.pogsoftwares.filetimestamp
A simple to use, lightweight, versatile photo dumper.
...The program is 441 kB (452,224 bytes) plus the configuration file which is ONLY 606 BYTES!!!!
It's extremely versatile, it's easy to use and IT'S OPEN SOURCE!!! If you want to make it work on an Android phone, you can do that. If you want to make an autorun script for it, you can do that. THE ONLY LIMIT IS YOUR IMAGINATION (and computer power).