Safari has a 6.1.3 update it contains stability, security, and compatibility updates. For strengthened security and to get rid of bugs you should update to the latest Safari version in general. Her is how to update go to in the upper left tool bar, then click on software update, if you are running OS-X Mountain Lion you will see a mountain lion image next to the image there is a description of the updates available then next to that their is an update button. Click update and you computer should run you through the steps.