What technology is the battery? Where are you taking the voltage reading? How accurate is the meter? What is the system state at 13v?
So, for example, if the battery is lead/acid and you're taking the reading away from the battery (e.g. the motorhome system panel) and/or the meter reads low, there might be nothing wrong with the battery. This is almost certainly the case if the 13v is just after full charge (e.g. just after turning off the engine or disconnecting EHU).
A 12v lead/acid battery is nominally 2v per cell, or 12v for a 6-cell battery but this is 2.1v per cell for a healthy battery at full charge. Charging is often at over 13.8v and a residual 'over-voltage' persists for a little time after the charging stops. So if the actual voltage at the time your meter reads 13v is actually 13.6v, the meter would be reading 0.6v low and this should be added to all readings and thus the 12v measurement is actually 12.6v, which is the 'at rest, open-circuit' voltage of a fully charged, healthy lead/acid battery!