313320 has 64 divisors (see below), whose sum is σ = 1077120. Its totient is φ = 71424.

The previous prime is 313307. The next prime is 313321. The reversal of 313320 is 23313.

It is a happy number.

313320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 313296 and 313305.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313320.

It is not an unprimeable number, because it can be changed into a prime (313321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654 + ... + 1026.

It is an arithmetic number, because the mean of its divisors is an integer number (16830).

2³¹³³²⁰ is an apocalyptic number.

313320 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 313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538560).

313320 is an abundant number, since it is smaller than the sum of its proper divisors (763800).

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

313320 is a wasteful number, since it uses less digits than its factorization.

313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 313320 is about 559.7499441715. The cubic root of 313320 is about 67.9197438396.

Adding to 313320 its reverse (23313), we get a palindrome (336633).

The spelling of 313320 in words is "three hundred thirteen thousand, three hundred twenty".