312023313 has 64 divisors (see below), whose sum is σ = 555724800. Its totient is φ = 169171200.

The previous prime is 312023303. The next prime is 312023323. The reversal of 312023313 is 313320213.

It is an interprime number because it is at equal distance from previous prime (312023303) and next prime (312023323).

It is not a de Polignac number, because 312023313 - 2⁴ = 312023297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (312023303) 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 in 63 ways as a sum of consecutive naturals, for example, 777913 + ... + 778313.

It is an arithmetic number, because the mean of its divisors is an integer number (8683200).

Almost surely, 2^312023313 is an apocalyptic number.

It is an amenable number.

312023313 is a deficient number, since it is larger than the sum of its proper divisors (243701487).

312023313 is a wasteful number, since it uses less digits than its factorization.

312023313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 312023313 is about 17664.1816396911. The cubic root of 312023313 is about 678.2591811976.

Adding to 312023313 its reverse (313320213), we get a palindrome (625343526).

The spelling of 312023313 in words is "three hundred twelve million, twenty-three thousand, three hundred thirteen".