13338 has 32 divisors (see below), whose sum is σ = 33600. Its totient is φ = 3888.

The previous prime is 13337. The next prime is 13339. The reversal of 13338 is 83331.

13338 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (13337) and next prime (13339).

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

It is a plaindrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 13338.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 693 + ... + 711.

It is an arithmetic number, because the mean of its divisors is an integer number (1050).

2¹³³³⁸ is an apocalyptic number.

13338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16800).

13338 is an abundant number, since it is smaller than the sum of its proper divisors (20262).

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

13338 is a wasteful number, since it uses less digits than its factorization.

13338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 37 counting only the distinct ones).

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

The square root of 13338 is about 115.4902593295. The cubic root of 13338 is about 23.7153881798.

13338 divided by its sum of digits (18) gives a triangular number (741 = T₃₈).

Adding to 13338 its reverse (83331), we get a palindrome (96669).

It can be divided in two parts, 133 and 38, that added together give a palindrome (171).

The spelling of 13338 in words is "thirteen thousand, three hundred thirty-eight".