313142320 has 20 divisors (see below), whose sum is σ = 728056080. Its totient is φ = 125256896.

The previous prime is 313142311. The next prime is 313142321. The reversal of 313142320 is 23241313.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×313142320² = 196116225149964800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313142321) 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 3 ways as a sum of consecutive naturals, for example, 1957060 + ... + 1957219.

It is an arithmetic number, because the mean of its divisors is an integer number (36402804).

Almost surely, 2^313142320 is an apocalyptic number.

It is an amenable number.

313142320 is an abundant number, since it is smaller than the sum of its proper divisors (414913760).

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

313142320 is a wasteful number, since it uses less digits than its factorization.

313142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914292 (or 3914286 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 313142320 is about 17695.8277568471. The cubic root of 313142320 is about 679.0690258887.

Adding to 313142320 its reverse (23241313), we get a palindrome (336383633).

It can be divided in two parts, 3131 and 42320, that added together give a triangular number (45451 = T₃₀₁).

The spelling of 313142320 in words is "three hundred thirteen million, one hundred forty-two thousand, three hundred twenty".