331221101221057 has 2 divisors, whose sum is σ = 331221101221058. Its totient is φ = 331221101221056.

The previous prime is 331221101221027. The next prime is 331221101221063. The reversal of 331221101221057 is 750122101122133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184014542518416 + 147206558702641 = 13565196^2 + 12132871^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-331221101221057 is a prime.

It is not a weakly prime, because it can be changed into another prime (331221101221027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165610550610528 + 165610550610529.

It is an arithmetic number, because the mean of its divisors is an integer number (165610550610529).

Almost surely, 2^{331221101221057} is an apocalyptic number.

It is an amenable number.

331221101221057 is a deficient number, since it is larger than the sum of its proper divisors (1).

331221101221057 is an equidigital number, since it uses as much as digits as its factorization.

331221101221057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 331221101221057 in words is "three hundred thirty-one trillion, two hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, fifty-seven".