312313120412017 has 2 divisors, whose sum is σ = 312313120412018. Its totient is φ = 312313120412016.

The previous prime is 312313120411987. The next prime is 312313120412057. The reversal of 312313120412017 is 710214021313213.

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., 311670636406416 + 642484005601 = 17654196^2 + 801551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-312313120412017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312313120412017.

It is not a weakly prime, because it can be changed into another prime (312313120412057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156156560206008 + 156156560206009.

It is an arithmetic number, because the mean of its divisors is an integer number (156156560206009).

Almost surely, 2^{312313120412017} is an apocalyptic number.

It is an amenable number.

312313120412017 is a deficient number, since it is larger than the sum of its proper divisors (1).

312313120412017 is an equidigital number, since it uses as much as digits as its factorization.

312313120412017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 312313120412017 in words is "three hundred twelve trillion, three hundred thirteen billion, one hundred twenty million, four hundred twelve thousand, seventeen".