313128 has 24 divisors (see below), whose sum is σ = 848250. Its totient is φ = 104352.

The previous prime is 313127. The next prime is 313129. The reversal of 313128 is 821313.

313128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (313127) and next prime (313129).

It can be written as a sum of positive squares in only one way, i.e., 311364 + 1764 = 558^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 313128.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 313128.

It is not an unprimeable number, because it can be changed into a prime (313127) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2103 + ... + 2246.

2³¹³¹²⁸ is an apocalyptic number.

It is an amenable number.

313128 is an abundant number, since it is smaller than the sum of its proper divisors (535122).

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

313128 is a wasteful number, since it uses less digits than its factorization.

313128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4361 (or 4354 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 313128 is about 559.5784127359. The cubic root of 313128 is about 67.9058674454.

It can be divided in two parts, 313 and 128, that added together give a square (441 = 21²).

The spelling of 313128 in words is "three hundred thirteen thousand, one hundred twenty-eight".