123130131201013 has 2 divisors, whose sum is σ = 123130131201014. Its totient is φ = 123130131201012.

The previous prime is 123130131201001. The next prime is 123130131201023. The reversal of 123130131201013 is 310102131031321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81167810825124 + 41962320375889 = 9009318^2 + 6477833^2 .

It is an emirp because it is prime and its reverse (310102131031321) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 123130131201013 - 2²⁹ = 123129594330101 is a prime.

It is a super-2 number, since 2×123130131201013² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123130131201023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61565065600506 + 61565065600507.

It is an arithmetic number, because the mean of its divisors is an integer number (61565065600507).

Almost surely, 2^{123130131201013} is an apocalyptic number.

It is an amenable number.

123130131201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

123130131201013 is an equidigital number, since it uses as much as digits as its factorization.

123130131201013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 123130131201013 its reverse (310102131031321), we get a palindrome (433232262232334).

The spelling of 123130131201013 in words is "one hundred twenty-three trillion, one hundred thirty billion, one hundred thirty-one million, two hundred one thousand, thirteen".