Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
What is the average 2006 metropolitan population of Lima with a GDP per capita over $13,100?

### Inputs:
table_name: table, columns: ['Rank', 'Metropolitan area', 'Country', 'GDP (PPP) (2008) Billions of US$', 'Metropolitan population (2006) Millions', 'GDP (PPP) US$ per capita']

### Response:
SELECT AVG Metropolitan population (2006) Millions FROM table WHERE Metropolitan area = lima AND GDP (PPP) US$ per capita > 13,100