Would someone tell me the difference between PS13 and Elements !

Question

what are the differences between elements 13 and PS 13

Answer 1

I'm sure there's a link somewhere which lays out the differences explicitly.  But from a top level, Elements is a slimmed down version of Photoshop that is geared towards a quicker and easier user experience.  It has more "one click" options for optimizing color, reducing redeye, etc - the main, basic edits that most people want to do to their photos.   Photoshop, on the other hand, is an advanced photo editor and comes with a learning curve; it's designed to be a full fledged digital editor from the "film" photographer, to the digital artist, compositors, layout, etc.  Even basic edits can be difficult to figure out until you know your way around the program.  It' more powerful, but more difficult to learn.  That said, some people don't want to spend the time learning it, they just want some basic, quick editing tools.
I can't remember the list off the top of my head, but Elements had a couple restrictions that made it a non-starter for me.  First and foremost, Elements won't let you edit multiple layers in 16 bits.  Something that won't affect many, but for any high level compositing it's a not go.  On top of that, they removed features like the pen tool, paths, curves, channels, smart objects, etc.  These probably don't mean anything to you, but to those of use that use PS these are the basic building blocks of our work.