312418313 has 2 divisors, whose sum is σ = 312418314. Its totient is φ = 312418312.

The previous prime is 312418291. The next prime is 312418357. The reversal of 312418313 is 313814213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 300398224 + 12020089 = 17332^2 + 3467^2 .

It is an emirp because it is prime and its reverse (313814213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312418313 - 2²⁴ = 295641097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312418373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156209156 + 156209157.

It is an arithmetic number, because the mean of its divisors is an integer number (156209157).

Almost surely, 2^312418313 is an apocalyptic number.

It is an amenable number.

312418313 is a deficient number, since it is larger than the sum of its proper divisors (1).

312418313 is an equidigital number, since it uses as much as digits as its factorization.

312418313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 26.

The square root of 312418313 is about 17675.3589213911. The cubic root of 312418313 is about 678.5452702941.

The spelling of 312418313 in words is "three hundred twelve million, four hundred eighteen thousand, three hundred thirteen".