31123321000193 has 2 divisors, whose sum is σ = 31123321000194. Its totient is φ = 31123321000192.

The previous prime is 31123321000159. The next prime is 31123321000207. The reversal of 31123321000193 is 39100012332113.

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., 18453828907264 + 12669492092929 = 4295792^2 + 3559423^2 .

It is a cyclic number.

It is not a de Polignac number, because 31123321000193 - 2⁶ = 31123321000129 is a prime.

It is a super-2 number, since 2×31123321000193² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (31123321080193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15561660500096 + 15561660500097.

It is an arithmetic number, because the mean of its divisors is an integer number (15561660500097).

Almost surely, 2^{31123321000193} is an apocalyptic number.

It is an amenable number.

31123321000193 is a deficient number, since it is larger than the sum of its proper divisors (1).

31123321000193 is an equidigital number, since it uses as much as digits as its factorization.

31123321000193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 31123321000193 in words is "thirty-one trillion, one hundred twenty-three billion, three hundred twenty-one million, one hundred ninety-three", and thus it is an aban number.