16135131164161 has 2 divisors, whose sum is σ = 16135131164162. Its totient is φ = 16135131164160.

The previous prime is 16135131164123. The next prime is 16135131164209. The reversal of 16135131164161 is 16146113153161.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11356097954161 + 4779033210000 = 3369881^2 + 2186100^2 .

It is a cyclic number.

It is not a de Polignac number, because 16135131164161 - 2⁹ = 16135131163649 is a prime.

It is not a weakly prime, because it can be changed into another prime (16135131164101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8067565582080 + 8067565582081.

It is an arithmetic number, because the mean of its divisors is an integer number (8067565582081).

Almost surely, 2^{16135131164161} is an apocalyptic number.

It is an amenable number.

16135131164161 is a deficient number, since it is larger than the sum of its proper divisors (1).

16135131164161 is an equidigital number, since it uses as much as digits as its factorization.

16135131164161 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 40.

The spelling of 16135131164161 in words is "sixteen trillion, one hundred thirty-five billion, one hundred thirty-one million, one hundred sixty-four thousand, one hundred sixty-one".