I think you are a little confused.
If a race is 13k then the distance is 13 kilometres, obviously.
There is no such thing as a 13k marathon.
A marathon is 26.2 miles, or 42.2km - with a half-marathon being half that distance, obviously.
So, there is a chance that your 13km marathon refers to the 13.1 miles that are in a half-marathon.
Hope that helps.
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