13340 has 24 divisors (see below), whose sum is σ = 30240. Its totient is φ = 4928.

The previous prime is 13339. The next prime is 13367. The reversal of 13340 is 4331.

13340 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

13340 is an undulating number in base 12.

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, 446 + ... + 474.

It is an arithmetic number, because the mean of its divisors is an integer number (1260).

2¹³³⁴⁰ is an apocalyptic number.

13340 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 115×116.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120).

13340 is an abundant number, since it is smaller than the sum of its proper divisors (16900).

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

13340 is a wasteful number, since it uses less digits than its factorization.

13340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 13340 is about 115.4989177438. The cubic root of 13340 is about 23.7165734751.

Adding to 13340 its reverse (4331), we get a palindrome (17671).

Subtracting from 13340 its reverse (4331), we obtain a palindrome (9009).

It can be divided in two parts, 13 and 340, that added together give a palindrome (353).

The spelling of 13340 in words is "thirteen thousand, three hundred forty".