122753957448113 has 2 divisors, whose sum is σ = 122753957448114. Its totient is φ = 122753957448112.

The previous prime is 122753957448079. The next prime is 122753957448149. The reversal of 122753957448113 is 311844759357221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95418962037169 + 27334995410944 = 9768263^2 + 5228288^2 .

It is a cyclic number.

It is not a de Polignac number, because 122753957448113 - 2⁶ = 122753957448049 is a prime.

It is not a weakly prime, because it can be changed into another prime (122753957444113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61376978724056 + 61376978724057.

It is an arithmetic number, because the mean of its divisors is an integer number (61376978724057).

Almost surely, 2^{122753957448113} is an apocalyptic number.

It is an amenable number.

122753957448113 is a deficient number, since it is larger than the sum of its proper divisors (1).

122753957448113 is an equidigital number, since it uses as much as digits as its factorization.

122753957448113 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50803200, while the sum is 62.

The spelling of 122753957448113 in words is "one hundred twenty-two trillion, seven hundred fifty-three billion, nine hundred fifty-seven million, four hundred forty-eight thousand, one hundred thirteen".