13380 has 24 divisors (see below), whose sum is σ = 37632. Its totient is φ = 3552.

The previous prime is 13367. The next prime is 13381. The reversal of 13380 is 8331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13381) by changing a digit.

13380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1568).

2¹³³⁸⁰ is an apocalyptic number.

13380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13380 is an abundant number, since it is smaller than the sum of its proper divisors (24252).

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 (18816).

13380 is a wasteful number, since it uses less digits than its factorization.

13380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 13380 is about 115.6719499274. The cubic root of 13380 is about 23.7402545427.

It can be divided in two parts, 13 and 380, that added together give a palindrome (393).

The spelling of 13380 in words is "thirteen thousand, three hundred eighty".