313133331 has 16 divisors (see below), whose sum is σ = 490052864. Its totient is φ = 174096864.

The previous prime is 313133321. The next prime is 313133333. The reversal of 313133331 is 133331313.

It is not a de Polignac number, because 313133331 - 2⁵ = 313133299 is a prime.

It is a super-2 number, since 2×313133331² = 196104965966311122, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 313133298 and 313133307.

It is not an unprimeable number, because it can be changed into a prime (313133333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 200725 + ... + 202278.

It is an arithmetic number, because the mean of its divisors is an integer number (30628304).

Almost surely, 2^313133331 is an apocalyptic number.

313133331 is a deficient number, since it is larger than the sum of its proper divisors (176919533).

313133331 is a wasteful number, since it uses less digits than its factorization.

313133331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403050.

The product of its digits is 729, while the sum is 21.

The square root of 313133331 is about 17695.5737686010. The cubic root of 313133331 is about 679.0625280872.

Adding to 313133331 its reverse (133331313), we get a palindrome (446464644).

The spelling of 313133331 in words is "three hundred thirteen million, one hundred thirty-three thousand, three hundred thirty-one".