31131310117 has 2 divisors, whose sum is σ = 31131310118. Its totient is φ = 31131310116.

The previous prime is 31131310103. The next prime is 31131310193. The reversal of 31131310117 is 71101313113.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16569095841 + 14562214276 = 128721^2 + 120674^2 .

It is a cyclic number.

It is not a de Polignac number, because 31131310117 - 2¹¹ = 31131308069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (31131310417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15565655058 + 15565655059.

It is an arithmetic number, because the mean of its divisors is an integer number (15565655059).

Almost surely, 2^31131310117 is an apocalyptic number.

It is an amenable number.

31131310117 is a deficient number, since it is larger than the sum of its proper divisors (1).

31131310117 is an equidigital number, since it uses as much as digits as its factorization.

31131310117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 22.

The spelling of 31131310117 in words is "thirty-one billion, one hundred thirty-one million, three hundred ten thousand, one hundred seventeen".