3131230312117 has 2 divisors, whose sum is σ = 3131230312118. Its totient is φ = 3131230312116.

The previous prime is 3131230312081. The next prime is 3131230312127. The reversal of 3131230312117 is 7112130321313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2310175045476 + 821055266641 = 1519926^2 + 906121^2 .

It is a cyclic number.

It is not a de Polignac number, because 3131230312117 - 2¹¹ = 3131230310069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3131230312127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1565615156058 + 1565615156059.

It is an arithmetic number, because the mean of its divisors is an integer number (1565615156059).

Almost surely, 2^{3131230312117} is an apocalyptic number.

It is an amenable number.

3131230312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

3131230312117 is an equidigital number, since it uses as much as digits as its factorization.

3131230312117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

The spelling of 3131230312117 in words is "three trillion, one hundred thirty-one billion, two hundred thirty million, three hundred twelve thousand, one hundred seventeen".