313133240 has 64 divisors (see below), whose sum is σ = 806976000. Its totient is φ = 107123328.

The previous prime is 313133209. The next prime is 313133297. The reversal of 313133240 is 42331313.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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, 166787 + ... + 168653.

It is an arithmetic number, because the mean of its divisors is an integer number (12609000).

Almost surely, 2^313133240 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 313133240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403488000).

313133240 is an abundant number, since it is smaller than the sum of its proper divisors (493842760).

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

313133240 is a wasteful number, since it uses less digits than its factorization.

313133240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2480 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

The square root of 313133240 is about 17695.5711973364. The cubic root of 313133240 is about 679.0624623062.

Adding to 313133240 its reverse (42331313), we get a palindrome (355464553).

The spelling of 313133240 in words is "three hundred thirteen million, one hundred thirty-three thousand, two hundred forty".