7 billion people in the world.
Assuming an annual birth-rate of 1% that means 70 million people born each year.
On average that is roughly 192,000 per day.
Per hour that is almost 8,000.
Per minute that is about 133.
That one of them is born weighing 5lb 13 oz is not unusual (that weight is considered within the boundary of normal).
As for the name, that's also not too unusual. In fact, if you do the same to my real first name and surname, it also equates to an average of 13 (I know you might not believe that, but it genuinely does).
However, had your name not added to 13 you wouldn't have mentioned it, or you would have probably come up with something else that does.
It's called selection bias.
So I'd put it down to coincidence. Nothing else.
Edit: actually the
crude birth rate (births per 1,000 people) is currently around 20 - i.e. 2%, not the 1% I used.
So half as remarkable as I set out.