331011432331057 has 2 divisors, whose sum is σ = 331011432331058. Its totient is φ = 331011432331056.

The previous prime is 331011432330989. The next prime is 331011432331093. The reversal of 331011432331057 is 750133234110133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 292353367542336 + 38658064788721 = 17098344^2 + 6217561^2 .

It is a cyclic number.

It is not a de Polignac number, because 331011432331057 - 2²³ = 331011423942449 is a prime.

It is not a weakly prime, because it can be changed into another prime (331011432331357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165505716165528 + 165505716165529.

It is an arithmetic number, because the mean of its divisors is an integer number (165505716165529).

Almost surely, 2^{331011432331057} is an apocalyptic number.

It is an amenable number.

331011432331057 is a deficient number, since it is larger than the sum of its proper divisors (1).

331011432331057 is an equidigital number, since it uses as much as digits as its factorization.

331011432331057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 68040, while the sum is 37.

The spelling of 331011432331057 in words is "three hundred thirty-one trillion, eleven billion, four hundred thirty-two million, three hundred thirty-one thousand, fifty-seven".