312357013 has 2 divisors, whose sum is σ = 312357014. Its totient is φ = 312357012.

The previous prime is 312357011. The next prime is 312357053. The reversal of 312357013 is 310753213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 311804964 + 552049 = 17658^2 + 743^2 .

It is a cyclic number.

It is not a de Polignac number, because 312357013 - 2¹ = 312357011 is a prime.

Together with 312357011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312357011) 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, 156178506 + 156178507.

It is an arithmetic number, because the mean of its divisors is an integer number (156178507).

Almost surely, 2^312357013 is an apocalyptic number.

It is an amenable number.

312357013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312357013 is an equidigital number, since it uses as much as digits as its factorization.

312357013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 25.

The square root of 312357013 is about 17673.6247838410. The cubic root of 312357013 is about 678.5008879771.

The spelling of 312357013 in words is "three hundred twelve million, three hundred fifty-seven thousand, thirteen".