331122302120993 has 2 divisors, whose sum is σ = 331122302120994. Its totient is φ = 331122302120992.

The previous prime is 331122302120969. The next prime is 331122302121077. The reversal of 331122302120993 is 399021203221133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 227388545630464 + 103733756490529 = 15079408^2 + 10184977^2 .

It is a cyclic number.

It is not a de Polignac number, because 331122302120993 - 2¹⁸ = 331122301858849 is a prime.

It is a super-2 number, since 2×331122302120993² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 331122302120993.

It is not a weakly prime, because it can be changed into another prime (331122302120293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165561151060496 + 165561151060497.

It is an arithmetic number, because the mean of its divisors is an integer number (165561151060497).

Almost surely, 2^{331122302120993} is an apocalyptic number.

It is an amenable number.

331122302120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

331122302120993 is an equidigital number, since it uses as much as digits as its factorization.

331122302120993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 104976, while the sum is 41.

The spelling of 331122302120993 in words is "three hundred thirty-one trillion, one hundred twenty-two billion, three hundred two million, one hundred twenty thousand, nine hundred ninety-three".