The 5SL6413-7CC: The 6 kA breaking capacity at 400 V means this MCB can safely interrupt a fault current up to 6,000 A without welding its contacts or causing an arc flash — adequate for most residential and light commercial distribution boards where the prospective short-circuit current (PSCC) at the panel doesn't exceed that level. At 13 A rated current, it's sized for a 13 A final subcircuit — think lighting circuits, general-purpose socket outlets, or a dedicated feed to a piece of equipment drawing around 3 kW on a single phase.
The 4-pole configuration (all four poles switched and protected) is typical for three-phase + neutral incoming supplies where you need overcurrent protection on all live conductors. Common in commercial building power distribution, small industrial control cabinets, and infrastructure installations where the 6 kA fault level is sufficient.