312355013 has 2 divisors, whose sum is σ = 312355014. Its totient is φ = 312355012.

The previous prime is 312355007. The next prime is 312355031. The reversal of 312355013 is 310553213.

Together with next prime (312355031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 303003649 + 9351364 = 17407^2 + 3058^2 .

It is an emirp because it is prime and its reverse (310553213) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 312355013 - 2⁶ = 312354949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 312355013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312355033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156177506 + 156177507.

It is an arithmetic number, because the mean of its divisors is an integer number (156177507).

Almost surely, 2^312355013 is an apocalyptic number.

It is an amenable number.

312355013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312355013 is an equidigital number, since it uses as much as digits as its factorization.

312355013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 312355013 is about 17673.5682022618. The cubic root of 312355013 is about 678.4994398428.

The spelling of 312355013 in words is "three hundred twelve million, three hundred fifty-five thousand, thirteen".