18313 has 2 divisors, whose sum is σ = 18314. Its totient is φ = 18312.

The previous prime is 18311. The next prime is 18329. The reversal of 18313 is 31381.

18313 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (18329) can be obtained adding 18313 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13689 + 4624 = 117^2 + 68^2 .

It is a cyclic number.

It is not a de Polignac number, because 18313 - 2¹ = 18311 is a prime.

Together with 18311, it forms a pair of twin primes.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is not a weakly prime, because it can be changed into another prime (18311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 9156 + 9157.

It is an arithmetic number, because the mean of its divisors is an integer number (9157).

2¹⁸³¹³ is an apocalyptic number.

It is an amenable number.

18313 is a deficient number, since it is larger than the sum of its proper divisors (1).

18313 is an equidigital number, since it uses as much as digits as its factorization.

18313 is an odious number, because the sum of its binary digits is odd.

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

The square root of 18313 is about 135.3255334370. The cubic root of 18313 is about 26.3584477953.

Adding to 18313 its reverse (31381), we get a palindrome (49694).

It can be divided in two parts, 183 and 13, that added together give a square (196 = 14²).

The spelling of 18313 in words is "eighteen thousand, three hundred thirteen".