13310 has 16 divisors (see below), whose sum is σ = 26352. Its totient is φ = 4840.

The previous prime is 13309. The next prime is 13313. The reversal of 13310 is 1331.

Added to its reverse (1331) it gives a 4-th power (14641 = 11⁴).

It is a super-2 number, since 2×13310² = 354312200, which contains 22 as substring.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1205 + ... + 1215.

It is an arithmetic number, because the mean of its divisors is an integer number (1647).

2¹³³¹⁰ is an apocalyptic number.

13310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13310 is a deficient number, since it is larger than the sum of its proper divisors (13042).

13310 is an equidigital number, since it uses as much as digits as its factorization.

13310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 13310 is about 115.3689732987. The cubic root of 13310 is about 23.6987815904.

Adding to 13310 its reverse (1331), we get a palindrome (14641).

It can be divided in two parts, 13 and 310, that added together give a palindrome (323).

The spelling of 13310 in words is "thirteen thousand, three hundred ten".