13044 has 12 divisors (see below), whose sum is σ = 30464. Its totient is φ = 4344.

The previous prime is 13043. The next prime is 13049. The reversal of 13044 is 44031.

13044 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 1087 = 13044 / (1 + 3 + 0 + 4 + 4).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13043) 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, 532 + ... + 555.

2¹³⁰⁴⁴ is an apocalyptic number.

It is an amenable number.

13044 is an abundant number, since it is smaller than the sum of its proper divisors (17420).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15232).

13044 is a wasteful number, since it uses less digits than its factorization.

13044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 13044 is about 114.2103322822. The cubic root of 13044 is about 23.5398448830.

Subtracting from 13044 its product of nonzero digits (48), we obtain a square (12996 = 114²).

Adding to 13044 its reverse (44031), we get a palindrome (57075).

The spelling of 13044 in words is "thirteen thousand, forty-four".