31004100122993 has 2 divisors, whose sum is σ = 31004100122994. Its totient is φ = 31004100122992.

The previous prime is 31004100122929. The next prime is 31004100122999. The reversal of 31004100122993 is 39922100140013.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17448389974129 + 13555710148864 = 4177127^2 + 3681808^2 .

It is a cyclic number.

It is not a de Polignac number, because 31004100122993 - 2⁶ = 31004100122929 is a prime.

It is a super-2 number, since 2×31004100122993² (a number of 28 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (31004100122999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15502050061496 + 15502050061497.

It is an arithmetic number, because the mean of its divisors is an integer number (15502050061497).

Almost surely, 2^{31004100122993} is an apocalyptic number.

It is an amenable number.

31004100122993 is a deficient number, since it is larger than the sum of its proper divisors (1).

31004100122993 is an equidigital number, since it uses as much as digits as its factorization.

31004100122993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 31004100122993 in words is "thirty-one trillion, four billion, one hundred million, one hundred twenty-two thousand, nine hundred ninety-three".