13320 has 48 divisors (see below), whose sum is σ = 44460. Its totient is φ = 3456.

The previous prime is 13313. The next prime is 13327. The reversal of 13320 is 2331.

It is a happy number.

13320 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (13313) and next prime (13327).

It can be written as a sum of positive squares in 2 ways, for example, as 12996 + 324 = 114^2 + 18^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (13327) by changing a digit.

13320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 342 + ... + 378.

2^{13320} is an apocalyptic number.

13320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22230).

13320 is an abundant number, since it is smaller than the sum of its proper divisors (31140).

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

13320 is a wasteful number, since it uses less digits than its factorization.

13320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 13320 is about 115.4123043700. The cubic root of 13320 is about 23.7047151864.

Adding to 13320 its reverse (2331), we get a palindrome (15651).

It can be divided in two parts, 133 and 20, that added together give a triangular number (153 = T_{17}).

The spelling of 13320 in words is "thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3330 4440 6660 13320

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