128313 has 12 divisors (see below), whose sum is σ = 189540. Its totient is φ = 83616.

The previous prime is 128311. The next prime is 128321. The reversal of 128313 is 313821.

It can be written as a sum of positive squares in 2 ways, for example, as 45369 + 82944 = 213^2 + 288^2 .

It is not a de Polignac number, because 128313 - 2¹ = 128311 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128311) 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 11 ways as a sum of consecutive naturals, for example, 343 + ... + 611.

It is an arithmetic number, because the mean of its divisors is an integer number (15795).

2¹²⁸³¹³ is an apocalyptic number.

It is an amenable number.

128313 is a deficient number, since it is larger than the sum of its proper divisors (61227).

128313 is a wasteful number, since it uses less digits than its factorization.

128313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 325 counting only the distinct ones).

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

The square root of 128313 is about 358.2080401108. The cubic root of 128313 is about 50.4378872337.

It can be divided in two parts, 1283 and 13, that added together give a 4-th power (1296 = 6⁴).

The spelling of 128313 in words is "one hundred twenty-eight thousand, three hundred thirteen".