13180 has 12 divisors (see below), whose sum is σ = 27720. Its totient is φ = 5264.

The previous prime is 13177. The next prime is 13183. The reversal of 13180 is 8131.

It is an interprime number because it is at equal distance from previous prime (13177) and next prime (13183).

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 13180.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 310 + ... + 349.

It is an arithmetic number, because the mean of its divisors is an integer number (2310).

2¹³¹⁸⁰ is an apocalyptic number.

13180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13180 is an abundant number, since it is smaller than the sum of its proper divisors (14540).

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 (13860).

13180 is a wasteful number, since it uses less digits than its factorization.

13180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 13180 is about 114.8041811085. The cubic root of 13180 is about 23.6213729583.

The spelling of 13180 in words is "thirteen thousand, one hundred eighty".