13221320 has 64 divisors (see below), whose sum is σ = 35493120. Its totient is φ = 4333824.

The previous prime is 13221317. The next prime is 13221337. The reversal of 13221320 is 2312231.

It is a happy number.

It is a super-3 number, since 3×13221320³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 13221295 and 13221304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5414 + ... + 7466.

It is an arithmetic number, because the mean of its divisors is an integer number (554580).

Almost surely, 2^13221320 is an apocalyptic number.

13221320 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 13221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17746560).

13221320 is an abundant number, since it is smaller than the sum of its proper divisors (22271800).

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

13221320 is a wasteful number, since it uses less digits than its factorization.

13221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 13221320 is about 3636.1133095656. The cubic root of 13221320 is about 236.4603196005.

Adding to 13221320 its reverse (2312231), we get a palindrome (15533551).

The spelling of 13221320 in words is "thirteen million, two hundred twenty-one thousand, three hundred twenty".