331201101122057 has 2 divisors, whose sum is σ = 331201101122058. Its totient is φ = 331201101122056.

The previous prime is 331201101122011. The next prime is 331201101122069. The reversal of 331201101122057 is 750221101102133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 248131930857616 + 83069170264441 = 15752204^2 + 9114229^2 .

It is a cyclic number.

It is not a de Polignac number, because 331201101122057 - 2¹² = 331201101117961 is a prime.

It is a super-2 number, since 2×331201101122057² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331201101122077) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165600550561028 + 165600550561029.

It is an arithmetic number, because the mean of its divisors is an integer number (165600550561029).

Almost surely, 2^{331201101122057} is an apocalyptic number.

It is an amenable number.

331201101122057 is a deficient number, since it is larger than the sum of its proper divisors (1).

331201101122057 is an equidigital number, since it uses as much as digits as its factorization.

331201101122057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2520, while the sum is 29.

The spelling of 331201101122057 in words is "three hundred thirty-one trillion, two hundred one billion, one hundred one million, one hundred twenty-two thousand, fifty-seven".