31138163515009 has 2 divisors, whose sum is σ = 31138163515010. Its totient is φ = 31138163515008.

The previous prime is 31138163514977. The next prime is 31138163515021. The reversal of 31138163515009 is 90051536183113.

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., 31137906618225 + 256896784 = 5580135^2 + 16028^2 .

It is a cyclic number.

It is not a de Polignac number, because 31138163515009 - 2⁵ = 31138163514977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31138163515009.

It is not a weakly prime, because it can be changed into another prime (31138163515709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15569081757504 + 15569081757505.

It is an arithmetic number, because the mean of its divisors is an integer number (15569081757505).

Almost surely, 2^{31138163515009} is an apocalyptic number.

It is an amenable number.

31138163515009 is a deficient number, since it is larger than the sum of its proper divisors (1).

31138163515009 is an equidigital number, since it uses as much as digits as its factorization.

31138163515009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 291600, while the sum is 46.

The spelling of 31138163515009 in words is "thirty-one trillion, one hundred thirty-eight billion, one hundred sixty-three million, five hundred fifteen thousand, nine".