13080 has 32 divisors (see below), whose sum is σ = 39600. Its totient is φ = 3456.

The previous prime is 13063. The next prime is 13093. The reversal of 13080 is 8031.

13080 is nontrivially palindromic in base 14.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 11.

It is a zygodrome in base 2 and base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66 + ... + 174.

2¹³⁰⁸⁰ is an apocalyptic number.

13080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19800).

13080 is an abundant number, since it is smaller than the sum of its proper divisors (26520).

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

13080 is a wasteful number, since it uses less digits than its factorization.

13080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13080 is about 114.3678276440. The cubic root of 13080 is about 23.5614807820.

13080 divided by its product of nonzero digits (24) gives a palindrome (545).

It can be divided in two parts, 130 and 80, that added together give a triangular number (210 = T₂₀).

The spelling of 13080 in words is "thirteen thousand, eighty".