331121020321193 has 2 divisors, whose sum is σ = 331121020321194. Its totient is φ = 331121020321192.

The previous prime is 331121020321181. The next prime is 331121020321261. The reversal of 331121020321193 is 391123020121133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267464829339904 + 63656190981289 = 16354352^2 + 7978483^2 .

It is a cyclic number.

It is not a de Polignac number, because 331121020321193 - 2⁶ = 331121020321129 is a prime.

It is a super-2 number, since 2×331121020321193² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331121020327193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165560510160596 + 165560510160597.

It is an arithmetic number, because the mean of its divisors is an integer number (165560510160597).

Almost surely, 2^{331121020321193} is an apocalyptic number.

It is an amenable number.

331121020321193 is a deficient number, since it is larger than the sum of its proper divisors (1).

331121020321193 is an equidigital number, since it uses as much as digits as its factorization.

331121020321193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 32.

The spelling of 331121020321193 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, twenty million, three hundred twenty-one thousand, one hundred ninety-three".