312321013 has 2 divisors, whose sum is σ = 312321014. Its totient is φ = 312321012.

The previous prime is 312321011. The next prime is 312321017. The reversal of 312321013 is 310123213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 293162884 + 19158129 = 17122^2 + 4377^2 .

It is a cyclic number.

It is not a de Polignac number, because 312321013 - 2¹ = 312321011 is a prime.

It is a super-2 number, since 2×312321013² = 195088830322692338, which contains 22 as substring.

Together with 312321011, 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 (312321011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156160506 + 156160507.

It is an arithmetic number, because the mean of its divisors is an integer number (156160507).

Almost surely, 2^312321013 is an apocalyptic number.

It is an amenable number.

312321013 is a deficient number, since it is larger than the sum of its proper divisors (1).

312321013 is an equidigital number, since it uses as much as digits as its factorization.

312321013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 312321013 is about 17672.6062876985. The cubic root of 312321013 is about 678.4748206146.

Adding to 312321013 its reverse (310123213), we get a palindrome (622444226).

The spelling of 312321013 in words is "three hundred twelve million, three hundred twenty-one thousand, thirteen".