313133220 has 72 divisors (see below), whose sum is σ = 975529464. Its totient is φ = 81243648.

The previous prime is 313133209. The next prime is 313133297. The reversal of 313133220 is 22331313.

313133220 is a `hidden beast` number, since 31 + 313 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 178062336 + 135070884 = 13344^2 + 11622^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 313133193 and 313133202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16849 + ... + 30168.

Almost surely, 2^313133220 is an apocalyptic number.

313133220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313133220 is an abundant number, since it is smaller than the sum of its proper divisors (662396244).

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

313133220 is a wasteful number, since it uses less digits than its factorization.

313133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47069 (or 47064 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313133220 is about 17695.5706322232. The cubic root of 313133220 is about 679.0624478488.

Adding to 313133220 its reverse (22331313), we get a palindrome (335464533).

The spelling of 313133220 in words is "three hundred thirteen million, one hundred thirty-three thousand, two hundred twenty".