There is download link for Skype for Ubuntu 10.04 and 12.04. I can't find appropriate version for 13.10.
I tried from terminal to instal too:
sudo apt-get install skype
But it says unable to locate package skype.
And for those who are in hurry to mention this question as possible duplicate, read this properly: I want proper download of latest Skype version for Ubuntu 13.10. It's "13.10".