313113220 has 48 divisors (see below), whose sum is σ = 756137088. Its totient is φ = 106686720.

The previous prime is 313113211. The next prime is 313113221. The reversal of 313113220 is 22311313.

It is a junction number, because it is equal to n+sod(n) for n = 313113194 and 313113203.

It is not an unprimeable number, because it can be changed into a prime (313113221) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15960 + ... + 29680.

It is an arithmetic number, because the mean of its divisors is an integer number (15752856).

Almost surely, 2^313113220 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 313113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378068544).

313113220 is an abundant number, since it is smaller than the sum of its proper divisors (443023868).

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

313113220 is a wasteful number, since it uses less digits than its factorization.

313113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13900 (or 13898 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 313113220 is about 17695.0055100302. The cubic root of 313113220 is about 679.0479901705.

Adding to 313113220 its reverse (22311313), we get a palindrome (335424533).

The spelling of 313113220 in words is "three hundred thirteen million, one hundred thirteen thousand, two hundred twenty".