331132030020257 has 2 divisors, whose sum is σ = 331132030020258. Its totient is φ = 331132030020256.

The previous prime is 331132030020217. The next prime is 331132030020269. The reversal of 331132030020257 is 752020030231133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 175376413336576 + 155755616683681 = 13242976^2 + 12480209^2 .

It is a cyclic number.

It is not a de Polignac number, because 331132030020257 - 2³⁰ = 331130956278433 is a prime.

It is not a weakly prime, because it can be changed into another prime (331132030020217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165566015010128 + 165566015010129.

It is an arithmetic number, because the mean of its divisors is an integer number (165566015010129).

Almost surely, 2^{331132030020257} is an apocalyptic number.

It is an amenable number.

331132030020257 is a deficient number, since it is larger than the sum of its proper divisors (1).

331132030020257 is an equidigital number, since it uses as much as digits as its factorization.

331132030020257 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 32.

The spelling of 331132030020257 in words is "three hundred thirty-one trillion, one hundred thirty-two billion, thirty million, twenty thousand, two hundred fifty-seven".