Find the next term in the given series below :1,1,1,3,4,8,5,9,27,7,16,__

The given series seems to be a combination of three different series. Let's break it down:

1. The first series is a sequence of prime numbers: 1, 1, 3, 5, 7.
2. The second series is a sequence of squares: 1, 4, 9, 16.
3. The third series is a sequence of cubes: 1, 8, 27.

The next term in the series should be the next prime number after 7, which is 11. So, the next term in the given series is 11.