Ubuntu Guide shows you how to install KDE 4.13 in Ubuntu 13.10
The KDE community has announced the Release Candidate of the 4.13 versions of Applications and Development Platform. This simple tutorial will show you how to install or upgrade to KDE 4.13 in Ubuntu 13.10 via the PPA.Install or Upgrade to KDE 4.13 in Ubuntu 13.10
A partial list of improvements can be found in the 4.13 Feature Plan. A more complete list of the improvements and changes will be available for the final release in the middle of April.