313312040 has 128 divisors (see below), whose sum is σ = 783820800. Its totient is φ = 112189440.

The previous prime is 313312039. The next prime is 313312067. The reversal of 313312040 is 40213313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1876037 + ... + 1876203.

It is an arithmetic number, because the mean of its divisors is an integer number (6123600).

Almost surely, 2^313312040 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 313312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391910400).

313312040 is an abundant number, since it is smaller than the sum of its proper divisors (470508760).

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

313312040 is a wasteful number, since it uses less digits than its factorization.

313312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 313312040 is about 17700.6225879205. The cubic root of 313312040 is about 679.1916866005.

Adding to 313312040 its reverse (40213313), we get a palindrome (353525353).

The spelling of 313312040 in words is "three hundred thirteen million, three hundred twelve thousand, forty".