They have the same meaning. There are two ways to contract "there is not": "there isn't" and "there's not".
It's hard to say which is more common. This will depend on the overall structure of the sentence, the preference of the speaker, perhaps the dialect.
My guess is that 'there isn't' is probably more common.
I'd suggest you experiment by using both and choose the one that feels more natural for you - because both are correct.
It is important to practise contracting because it will make you sound much more fluent and natural. Natives always contract in speech.