122131233022993 has 2 divisors, whose sum is σ = 122131233022994. Its totient is φ = 122131233022992.

The previous prime is 122131233022987. The next prime is 122131233023039. The reversal of 122131233022993 is 399220332131221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118950171719184 + 3181061303809 = 10906428^2 + 1783553^2 .

It is a cyclic number.

It is not a de Polignac number, because 122131233022993 - 2⁴⁵ = 86946860934161 is a prime.

It is not a weakly prime, because it can be changed into another prime (122131233022693) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61065616511496 + 61065616511497.

It is an arithmetic number, because the mean of its divisors is an integer number (61065616511497).

Almost surely, 2^{122131233022993} is an apocalyptic number.

It is an amenable number.

122131233022993 is a deficient number, since it is larger than the sum of its proper divisors (1).

122131233022993 is an equidigital number, since it uses as much as digits as its factorization.

122131233022993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 209952, while the sum is 43.

The spelling of 122131233022993 in words is "one hundred twenty-two trillion, one hundred thirty-one billion, two hundred thirty-three million, twenty-two thousand, nine hundred ninety-three".