313121220 has 48 divisors (see below), whose sum is σ = 877728768. Its totient is φ = 83404800.

The previous prime is 313121219. The next prime is 313121239. The reversal of 313121220 is 22121313.

313121220 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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313121220.

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, 62820 + ... + 67620.

It is an arithmetic number, because the mean of its divisors is an integer number (18286016).

Almost surely, 2^313121220 is an apocalyptic number.

313121220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313121220 is an abundant number, since it is smaller than the sum of its proper divisors (564607548).

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

313121220 is a wasteful number, since it uses less digits than its factorization.

313121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5900 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 313121220 is about 17695.2315610732. The cubic root of 313121220 is about 679.0537733157.

Adding to 313121220 its reverse (22121313), we get a palindrome (335242533).

It can be divided in two parts, 31 and 3121220, that added together give a triangular number (3121251 = T₂₄₉₈).

The spelling of 313121220 in words is "three hundred thirteen million, one hundred twenty-one thousand, two hundred twenty".