123131322023189 has 2 divisors, whose sum is σ = 123131322023190. Its totient is φ = 123131322023188.

The previous prime is 123131322023077. The next prime is 123131322023191. The reversal of 123131322023189 is 981320223131321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112373610812164 + 10757711211025 = 10600642^2 + 3279895^2 .

It is a cyclic number.

It is not a de Polignac number, because 123131322023189 - 2¹⁶ = 123131321957653 is a prime.

It is a super-2 number, since 2×123131322023189² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 123131322023191, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (123131322073189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61565661011594 + 61565661011595.

It is an arithmetic number, because the mean of its divisors is an integer number (61565661011595).

Almost surely, 2^{123131322023189} is an apocalyptic number.

It is an amenable number.

123131322023189 is a deficient number, since it is larger than the sum of its proper divisors (1).

123131322023189 is an equidigital number, since it uses as much as digits as its factorization.

123131322023189 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 123131322023189 in words is "one hundred twenty-three trillion, one hundred thirty-one billion, three hundred twenty-two million, twenty-three thousand, one hundred eighty-nine".