312311321 has 32 divisors (see below), whose sum is σ = 375072768. Its totient is φ = 254580480.

The previous prime is 312311281. The next prime is 312311323. The reversal of 312311321 is 123113213.

It is not a de Polignac number, because 312311321 - 2⁶ = 312311257 is a prime.

It is a super-2 number, since 2×312311321² = 195076722449530082, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 312311321.

It is not an unprimeable number, because it can be changed into a prime (312311323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2763761 + ... + 2763873.

It is an arithmetic number, because the mean of its divisors is an integer number (11721024).

Almost surely, 2^312311321 is an apocalyptic number.

It is an amenable number.

312311321 is a deficient number, since it is larger than the sum of its proper divisors (62761447).

312311321 is a wasteful number, since it uses less digits than its factorization.

312311321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341.

The product of its digits is 108, while the sum is 17.

The square root of 312311321 is about 17672.3320758750. The cubic root of 312311321 is about 678.4678023592.

Adding to 312311321 its reverse (123113213), we get a palindrome (435424534).

It can be divided in two parts, 3 and 12311321, that multiplied together give a palindrome (36933963).

The spelling of 312311321 in words is "three hundred twelve million, three hundred eleven thousand, three hundred twenty-one".