1020131312957 has 2 divisors, whose sum is σ = 1020131312958. Its totient is φ = 1020131312956.

The previous prime is 1020131312953. The next prime is 1020131312999. The reversal of 1020131312957 is 7592131310201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 677977679236 + 342153633721 = 823394^2 + 584939^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020131312957 - 2² = 1020131312953 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020131312951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510065656478 + 510065656479.

It is an arithmetic number, because the mean of its divisors is an integer number (510065656479).

Almost surely, 2^{1020131312957} is an apocalyptic number.

It is an amenable number.

1020131312957 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020131312957 is an equidigital number, since it uses as much as digits as its factorization.

1020131312957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 11340, while the sum is 35.

The spelling of 1020131312957 in words is "one trillion, twenty billion, one hundred thirty-one million, three hundred twelve thousand, nine hundred fifty-seven".