313220320 has 192 divisors, whose sum is σ = 914457600. Its totient is φ = 98979840.

The previous prime is 313220317. The next prime is 313220333. The reversal of 313220320 is 23022313.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 313220294 and 313220303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 872301 + ... + 872659.

It is an arithmetic number, because the mean of its divisors is an integer number (4762800).

Almost surely, 2^313220320 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 313220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

313220320 is an abundant number, since it is smaller than the sum of its proper divisors (601237280).

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

313220320 is a wasteful number, since it uses less digits than its factorization.

313220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 313220320 is about 17698.0315289582. The cubic root of 313220320 is about 679.1254038606.

Adding to 313220320 its reverse (23022313), we get a palindrome (336242633).

The spelling of 313220320 in words is "three hundred thirteen million, two hundred twenty thousand, three hundred twenty".