13188 has 24 divisors (see below), whose sum is σ = 35392. Its totient is φ = 3744.

The previous prime is 13187. The next prime is 13217. The reversal of 13188 is 88131.

13188 = T₇ + T₈ + ... + T₄₂.

It is a happy number.

13188 is nontrivially palindromic in base 13.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a plaindrome in base 11.

It is a nialpdrome in base 7 and base 12.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (13183) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6 + ... + 162.

2¹³¹⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17696).

13188 is an abundant number, since it is smaller than the sum of its proper divisors (22204).

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

13188 is a wasteful number, since it uses less digits than its factorization.

13188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 169 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 13188 is about 114.8390177596. The cubic root of 13188 is about 23.6261512275.

Subtracting from 13188 its product of digits (192), we obtain a square (12996 = 114²).

It can be divided in two parts, 1318 and 8, that added together give a triangular number (1326 = T₅₁).

The spelling of 13188 in words is "thirteen thousand, one hundred eighty-eight".