123011322102113 has 2 divisors, whose sum is σ = 123011322102114. Its totient is φ = 123011322102112.

The previous prime is 123011322102079. The next prime is 123011322102157. The reversal of 123011322102113 is 311201223110321.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71117985189904 + 51893336912209 = 8433148^2 + 7203703^2 .

It is a cyclic number.

It is not a de Polignac number, because 123011322102113 - 2³⁶ = 122942602625377 is a prime.

It is not a weakly prime, because it can be changed into another prime (123011322104113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61505661051056 + 61505661051057.

It is an arithmetic number, because the mean of its divisors is an integer number (61505661051057).

Almost surely, 2^{123011322102113} is an apocalyptic number.

It is an amenable number.

123011322102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

123011322102113 is an equidigital number, since it uses as much as digits as its factorization.

123011322102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 123011322102113 its reverse (311201223110321), we get a palindrome (434212545212434).

The spelling of 123011322102113 in words is "one hundred twenty-three trillion, eleven billion, three hundred twenty-two million, one hundred two thousand, one hundred thirteen".