31131231103117 has 2 divisors, whose sum is σ = 31131231103118. Its totient is φ = 31131231103116.

The previous prime is 31131231103109. The next prime is 31131231103177. The reversal of 31131231103117 is 71130113213113.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23506458935716 + 7624772167401 = 4848346^2 + 2761299^2 .

It is an emirp because it is prime and its reverse (71130113213113) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 31131231103117 - 2³ = 31131231103109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31131231103177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565615551558 + 15565615551559.

It is an arithmetic number, because the mean of its divisors is an integer number (15565615551559).

Almost surely, 2^{31131231103117} is an apocalyptic number.

It is an amenable number.

31131231103117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31131231103117 is an equidigital number, since it uses as much as digits as its factorization.

31131231103117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1134, while the sum is 28.

The spelling of 31131231103117 in words is "thirty-one trillion, one hundred thirty-one billion, two hundred thirty-one million, one hundred three thousand, one hundred seventeen".