108313 has 4 divisors (see below), whose sum is σ = 109620. Its totient is φ = 107008.

The previous prime is 108301. The next prime is 108343. The reversal of 108313 is 313801.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313801 = 113 ⋅2777.

It can be written as a sum of positive squares in 2 ways, for example, as 28224 + 80089 = 168^2 + 283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-108313 is a prime.

It is a Duffinian number.

108313 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (108343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (27405).

2¹⁰⁸³¹³ is an apocalyptic number.

It is an amenable number.

108313 is a deficient number, since it is larger than the sum of its proper divisors (1307).

108313 is an equidigital number, since it uses as much as digits as its factorization.

108313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 108313 is about 329.1094043020. The cubic root of 108313 is about 47.6679924213.

Subtracting from 108313 its product of nonzero digits (72), we obtain a square (108241 = 329²).

The spelling of 108313 in words is "one hundred eight thousand, three hundred thirteen".