312331320 has 96 divisors (see below), whose sum is σ = 1160097120. Its totient is φ = 71389440.

The previous prime is 312331307. The next prime is 312331333. The reversal of 312331320 is 23133213.

312331320 is a `hidden beast` number, since 3 + 12 + 331 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (312331307) and next prime (312331333).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 312331293 and 312331302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59451 + ... + 64490.

It is an arithmetic number, because the mean of its divisors is an integer number (12084345).

Almost surely, 2^312331320 is an apocalyptic number.

312331320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312331320 is an abundant number, since it is smaller than the sum of its proper divisors (847765800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312331320 is a wasteful number, since it uses less digits than its factorization.

312331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123965 (or 123958 counting only the distinct ones).

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

The square root of 312331320 is about 17672.8978947993. The cubic root of 312331320 is about 678.4822840500.

Adding to 312331320 its reverse (23133213), we get a palindrome (335464533).

It can be divided in two parts, 3123 and 31320, that added together give a palindrome (34443).

The spelling of 312331320 in words is "three hundred twelve million, three hundred thirty-one thousand, three hundred twenty".