12616313105633 has 2 divisors, whose sum is σ = 12616313105634. Its totient is φ = 12616313105632.

The previous prime is 12616313105563. The next prime is 12616313105651. The reversal of 12616313105633 is 33650131361621.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6398835686464 + 6217477419169 = 2529592^2 + 2493487^2 .

It is a cyclic number.

It is not a de Polignac number, because 12616313105633 - 2²⁰ = 12616312057057 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (12616313105533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6308156552816 + 6308156552817.

It is an arithmetic number, because the mean of its divisors is an integer number (6308156552817).

Almost surely, 2^{12616313105633} is an apocalyptic number.

It is an amenable number.

12616313105633 is a deficient number, since it is larger than the sum of its proper divisors (1).

12616313105633 is an equidigital number, since it uses as much as digits as its factorization.

12616313105633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 174960, while the sum is 41.

The spelling of 12616313105633 in words is "twelve trillion, six hundred sixteen billion, three hundred thirteen million, one hundred five thousand, six hundred thirty-three".