123131022001073 has 2 divisors, whose sum is σ = 123131022001074. Its totient is φ = 123131022001072.

The previous prime is 123131022001007. The next prime is 123131022001151. The reversal of 123131022001073 is 370100220131321.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 113885116859809 + 9245905141264 = 10671697^2 + 3040708^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-123131022001073 is a prime.

It is a super-2 number, since 2×123131022001073² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (123131022001573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61565511000536 + 61565511000537.

It is an arithmetic number, because the mean of its divisors is an integer number (61565511000537).

Almost surely, 2^{123131022001073} is an apocalyptic number.

It is an amenable number.

123131022001073 is a deficient number, since it is larger than the sum of its proper divisors (1).

123131022001073 is an equidigital number, since it uses as much as digits as its factorization.

123131022001073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 26.

Adding to 123131022001073 its reverse (370100220131321), we get a palindrome (493231242132394).

The spelling of 123131022001073 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, twenty-two million, one thousand, seventy-three".