202131131012957 has 2 divisors, whose sum is σ = 202131131012958. Its totient is φ = 202131131012956.

The previous prime is 202131131012947. The next prime is 202131131012971. The reversal of 202131131012957 is 759210131131202.

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., 186202563107236 + 15928567905721 = 13645606^2 + 3991061^2 .

It is a cyclic number.

It is not a de Polignac number, because 202131131012957 - 2²⁴ = 202131114235741 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 202131131012957.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202131131012947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101065565506478 + 101065565506479.

It is an arithmetic number, because the mean of its divisors is an integer number (101065565506479).

Almost surely, 2^{202131131012957} is an apocalyptic number.

It is an amenable number.

202131131012957 is a deficient number, since it is larger than the sum of its proper divisors (1).

202131131012957 is an equidigital number, since it uses as much as digits as its factorization.

202131131012957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 38.

The spelling of 202131131012957 in words is "two hundred two trillion, one hundred thirty-one billion, one hundred thirty-one million, twelve thousand, nine hundred fifty-seven".