312313320 has 384 divisors, whose sum is σ = 1207664640. Its totient is φ = 71850240.

The previous prime is 312313319. The next prime is 312313321. The reversal of 312313320 is 23313213.

312313320 is a `hidden beast` number, since 31 + 2 + 313 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (312313319) and next prime (312313321).

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 = 312313293 and 312313302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312313321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2459097 + ... + 2459223.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^312313320 is an apocalyptic number.

312313320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603832320).

312313320 is an abundant number, since it is smaller than the sum of its proper divisors (895351320).

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

312313320 is a wasteful number, since it uses less digits than its factorization.

312313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 171 counting only the distinct ones).

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

The square root of 312313320 is about 17672.3886331192. The cubic root of 312313320 is about 678.4692499043.

Adding to 312313320 its reverse (23313213), we get a palindrome (335626533).

The spelling of 312313320 in words is "three hundred twelve million, three hundred thirteen thousand, three hundred twenty".