313381188 has 18 divisors (see below), whose sum is σ = 792158094. Its totient is φ = 104460384.

The previous prime is 313381171. The next prime is 313381249. The reversal of 313381188 is 881183313.

It can be written as a sum of positive squares in only one way, i.e., 235376964 + 78004224 = 15342^2 + 8832^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 8705033 = 313381188 / (3 + 1 + 3 + 3 + 8 + 1 + 1 + 8 + 8).

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 5 ways as a sum of consecutive naturals, for example, 4352481 + ... + 4352552.

It is an arithmetic number, because the mean of its divisors is an integer number (44008783).

Almost surely, 2^313381188 is an apocalyptic number.

It is an amenable number.

313381188 is an abundant number, since it is smaller than the sum of its proper divisors (478776906).

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

313381188 is a wasteful number, since it uses less digits than its factorization.

313381188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8705043 (or 8705038 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 313381188 is about 17702.5757447892. The cubic root of 313381188 is about 679.2416488172.

It can be divided in two parts, 313 and 381188, that added together give a triangular number (381501 = T₈₇₃).

The spelling of 313381188 in words is "three hundred thirteen million, three hundred eighty-one thousand, one hundred eighty-eight".