313321220 has 96 divisors (see below), whose sum is σ = 738460800. Its totient is φ = 111089664.

The previous prime is 313321187. The next prime is 313321231. The reversal of 313321220 is 22123313.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423611 + ... + 424349.

It is an arithmetic number, because the mean of its divisors is an integer number (7692300).

Almost surely, 2^313321220 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 313321220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369230400).

313321220 is an abundant number, since it is smaller than the sum of its proper divisors (425139580).

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

313321220 is a wasteful number, since it uses less digits than its factorization.

313321220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 837 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 313321220 is about 17700.8818989337. The cubic root of 313321220 is about 679.1983199436.

Adding to 313321220 its reverse (22123313), we get a palindrome (335444533).

The spelling of 313321220 in words is "three hundred thirteen million, three hundred twenty-one thousand, two hundred twenty".