13383 has 6 divisors (see below), whose sum is σ = 19344. Its totient is φ = 8916.

The previous prime is 13381. The next prime is 13397. The reversal of 13383 is 38331.

13383 is nontrivially palindromic in base 4.

13383 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13383 - 2¹ = 13381 is a prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13381) 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 in 5 ways as a sum of consecutive naturals, for example, 735 + ... + 752.

It is an arithmetic number, because the mean of its divisors is an integer number (3224).

2¹³³⁸³ is an apocalyptic number.

13383 is a deficient number, since it is larger than the sum of its proper divisors (5961).

13383 is a wasteful number, since it uses less digits than its factorization.

13383 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1490 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 13383 is about 115.6849169080. The cubic root of 13383 is about 23.7420287192.

It can be divided in two parts, 133 and 83, that added together give a cube (216 = 6³).

The spelling of 13383 in words is "thirteen thousand, three hundred eighty-three".