313233320 has 64 divisors (see below), whose sum is σ = 742919040. Its totient is φ = 118624000.

The previous prime is 313233311. The next prime is 313233337. The reversal of 313233320 is 23332313.

It is a super-2 number, since 2×313233320² = 196230225516444800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 313233292 and 313233301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91235 + ... + 94605.

It is an arithmetic number, because the mean of its divisors is an integer number (11608110).

Almost surely, 2^313233320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371459520).

313233320 is an abundant number, since it is smaller than the sum of its proper divisors (429685720).

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

313233320 is a wasteful number, since it uses less digits than its factorization.

313233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3502 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 313233320 is about 17698.3987976314. The cubic root of 313233320 is about 679.1347992793.

Adding to 313233320 its reverse (23332313), we get a palindrome (336565633).

It can be divided in two parts, 31323 and 3320, that added together give a palindrome (34643).

The spelling of 313233320 in words is "three hundred thirteen million, two hundred thirty-three thousand, three hundred twenty".