13110 has 32 divisors (see below), whose sum is σ = 34560. Its totient is φ = 3168.

The previous prime is 13109. The next prime is 13121. The reversal of 13110 is 1131.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559 + ... + 581.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

2¹³¹¹⁰ is an apocalyptic number.

13110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 114×115.

It is a practical number, because each smaller number is the sum of distinct divisors of 13110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17280).

13110 is an abundant number, since it is smaller than the sum of its proper divisors (21450).

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

13110 is a wasteful number, since it uses less digits than its factorization.

13110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52.

The product of its (nonzero) digits is 3, while the sum is 6.

The square root of 13110 is about 114.4989082917. The cubic root of 13110 is about 23.5794803924.

Adding to 13110 its reverse (1131), we get a palindrome (14241).

It can be divided in two parts, 131 and 10, that added together give a palindrome (141).

The spelling of 13110 in words is "thirteen thousand, one hundred ten".