312321331 has 8 divisors (see below), whose sum is σ = 377935200. Its totient is φ = 251956608.

The previous prime is 312321319. The next prime is 312321349. The reversal of 312321331 is 133123213.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312321331 - 2⁹ = 312320819 is a prime.

It is a super-2 number, since 2×312321331² = 195089227595223122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312321299 and 312321308.

It is not an unprimeable number, because it can be changed into a prime (312321131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1312156 + ... + 1312393.

It is an arithmetic number, because the mean of its divisors is an integer number (47241900).

Almost surely, 2^312321331 is an apocalyptic number.

312321331 is a deficient number, since it is larger than the sum of its proper divisors (65613869).

312321331 is a wasteful number, since it uses less digits than its factorization.

312321331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624573.

The product of its digits is 324, while the sum is 19.

The square root of 312321331 is about 17672.6152846714. The cubic root of 312321331 is about 678.4750508851.

Adding to 312321331 its reverse (133123213), we get a palindrome (445444544).

The spelling of 312321331 in words is "three hundred twelve million, three hundred twenty-one thousand, three hundred thirty-one".