This actually depends on the capacity of each panel that you are choosing. To give you an idea with here some example of 13 kw solar power system:

1. Per Panel 41w Watts *  32 Panels = 13.28 kw Solar Power System.

2. Per Panel 440 Watts  *  30 panels = 13.20 kw Solar Power System.
   

3. Per Panel 450 Watts *   29 Panels = 13.05 kw Solar Power System.

4. Per Panel 475 Watts *   28 Panels = 13.30 kw Solar Power System.

Hope above examples can give you a fair idea about how many panels are there in 13 kw Solar Power System.

The required space again depends on the individual solar panel capacity. Here are some examples of space required to install 13 kw Solar Power System,

1. Number of Panels 32 (13.28 kw Solar Power System) * 2 Sq Meter Per Panel = 64 sq Meter space required for a 13.28 kw solar panel system.

2. Number of Panels 30 (13.20 kw Solar Power System) * 2 Sq Meter Per Panel = 60 sq Meter space required for a 13.28 kw solar panel system.

3. Number of Panels 29 (13.05 kw Solar Power System) * 2 Sq Meter Per Panel = 58 sq Meter space required for a 13.28 kw solar panel system.

4. Number of Panels 28 (13.30 kw Solar Power System) * 2 Sq Meter Per Panel = 56 sq Meter space required for a 13.30 kw solar panel system.

It will be hard to get exact match with inverter and panel capacity however you can go for any inverter with a capacity 10 kw and above.

The output of the Solar panel system depends on many factors system like system efficiency, available sunlight, locality, roof facing, shade and many other factor however with average 4 hours full production a 13 kw solar power system can generate some where around 48 kw to 52 kw per day.

The savings depends on few factors like your usages during the day time, the electricity price in your locality, the efficiency of the solar power system, average hours of sunlight  available during the day. To give you a rough idea a 13 kw solar power system can save starting from $400  to $600 per month.

The pay back period of a 13 kw solar power system could be some where around 30 months to 48 months most however this depends on some factors like electricity price and system efficiency.

The price of a 13kW solar system with a battery can vary depending on the specific components and the installation costs. Here are some estimates:

Please note that these are just estimates and the actual cost can vary based on your specific requirements and the solar provider you choose. It’s always a good idea to get multiple quotes and compare prices before making a decision.

• A high-quality 13kW solar system can cost between $5,000 and $18,000.

• The cost of adding a battery to the system can range from an additional $5,000 to $12,000, depending on the capacity and technology.