313133040 has 400 divisors, whose sum is σ = 1244491776. Its totient is φ = 72230400.

The previous prime is 313133033. The next prime is 313133059. The reversal of 313133040 is 40331313.

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

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1639345 + ... + 1639535.

Almost surely, 2^313133040 is an apocalyptic number.

313133040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313133040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622245888).

313133040 is an abundant number, since it is smaller than the sum of its proper divisors (931358736).

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

313133040 is a wasteful number, since it uses less digits than its factorization.

313133040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 235 counting only the distinct ones).

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

The square root of 313133040 is about 17695.5655462039. The cubic root of 313133040 is about 679.0623177325.

Adding to 313133040 its reverse (40331313), we get a palindrome (353464353).

The spelling of 313133040 in words is "three hundred thirteen million, one hundred thirty-three thousand, forty".