312125331 has 32 divisors (see below), whose sum is σ = 503296000. Its totient is φ = 168078240.

The previous prime is 312125291. The next prime is 312125351. The reversal of 312125331 is 133521213.

It is not a de Polignac number, because 312125331 - 2⁹ = 312124819 is a prime.

It is a super-2 number, since 2×312125331² = 194844444503719122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 312125298 and 312125307.

It is not an unprimeable number, because it can be changed into a prime (312125351) 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, 77436 + ... + 81366.

It is an arithmetic number, because the mean of its divisors is an integer number (15728000).

Almost surely, 2^312125331 is an apocalyptic number.

312125331 is a deficient number, since it is larger than the sum of its proper divisors (191170669).

312125331 is a wasteful number, since it uses less digits than its factorization.

312125331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159.

The product of its digits is 540, while the sum is 21.

The square root of 312125331 is about 17667.0691117684. The cubic root of 312125331 is about 678.3330935223. Note that the first 3 decimals are identical.

Adding to 312125331 its reverse (133521213), we get a palindrome (445646544).

The spelling of 312125331 in words is "three hundred twelve million, one hundred twenty-five thousand, three hundred thirty-one".