Is it normal not to be interested in dating after a break up?

I broke up with my ex 4 months ago. Today was the first time I signed up for a dating site in a long time. Is it normal not to be interested in dating after a break up? I find myself not interested in talking/being with anyone right now. I normally rush into another relationship but not this time. How long does it take to fully heal from a breakup?
Is it normal not to be interested in dating after a break up?
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