Can I jailbreak my iPhone 4 running 6.1.3?

And how to get cydia is there link you can give me

An untethered jailbreak for the 6.1.3 is not available, and will never be.
Untethered jailbreak means full jailbreak, that is jailbreak once and forget.

You can, though, do a semi-untethered jailbreak. Which means every time your iphone switches off, you will have to connect it to your computer and do some steps in order to use it again. I don't prefer this way because manier times it will switch off and you won't have your computer at hand.

Still if you want to do the semi-untethered jailbreak, you can look up here - http://www.jailbreaknation.com/jailbreak-6.1.3-semi-untethered-on-iphone-4-3gs-and-ipod-touch-4g

Also, no further untethered jailbreak will be made for the 6.1.3 because the developers feel its too much hard work for a small release (which it is).
Complete jailbreak will be made available for ios7.

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