The battery is probably charged based on the voltage you are seeing, so likely either your charger indication is wrong or it has a time interval it waits before calling the battery charged.
There's no way for the charger to know what the state of charge of the battery is until it is nearly completely charged. The 13.1V the charger is providing now is safe long-term for the battery, so I'd leave it on at least another 24 hours, then unplug the charger and measure battery voltage after it sits all day or overnight. Full charge voltage for that battery is 12.80V.


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