313133232 has 80 divisors (see below), whose sum is σ = 842104832. Its totient is φ = 100154880.

The previous prime is 313133209. The next prime is 313133297. The reversal of 313133232 is 232331313.

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 = 313133199 and 313133208.

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, 188148 + ... + 189804.

Almost surely, 2^313133232 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 313133232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421052416).

313133232 is an abundant number, since it is smaller than the sum of its proper divisors (528971600).

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

313133232 is a wasteful number, since it uses less digits than its factorization.

313133232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its digits is 972, while the sum is 21.

The square root of 313133232 is about 17695.5709712911. The cubic root of 313133232 is about 679.0624565232.

Adding to 313133232 its reverse (232331313), we get a palindrome (545464545).

It can be divided in two parts, 3131 and 33232, that added together give a palindrome (36363).

The spelling of 313133232 in words is "three hundred thirteen million, one hundred thirty-three thousand, two hundred thirty-two".