31311123314117 has 2 divisors, whose sum is σ = 31311123314118. Its totient is φ = 31311123314116.

The previous prime is 31311123314113. The next prime is 31311123314137. The reversal of 31311123314117 is 71141332111313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15917498626276 + 15393624687841 = 3989674^2 + 3923471^2 .

It is a cyclic number.

It is not a de Polignac number, because 31311123314117 - 2² = 31311123314113 is a prime.

It is a super-3 number, since 3×31311123314117³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31311123314113) 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, 15655561657058 + 15655561657059.

It is an arithmetic number, because the mean of its divisors is an integer number (15655561657059).

Almost surely, 2^{31311123314117} is an apocalyptic number.

It is an amenable number.

31311123314117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31311123314117 is an equidigital number, since it uses as much as digits as its factorization.

31311123314117 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 32.

The spelling of 31311123314117 in words is "thirty-one trillion, three hundred eleven billion, one hundred twenty-three million, three hundred fourteen thousand, one hundred seventeen".