13220 has 12 divisors (see below), whose sum is σ = 27804. Its totient is φ = 5280.

The previous prime is 13219. The next prime is 13229. The reversal of 13220 is 2231.

13220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7744 + 5476 = 88^2 + 74^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13198 and 13207.

It is not an unprimeable number, because it can be changed into a prime (13229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 311 + ... + 350.

It is an arithmetic number, because the mean of its divisors is an integer number (2317).

2¹³²²⁰ is an apocalyptic number.

13220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13220 is an abundant number, since it is smaller than the sum of its proper divisors (14584).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13902).

13220 is a wasteful number, since it uses less digits than its factorization.

13220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 13220 is about 114.9782588144. The cubic root of 13220 is about 23.6452450038.

Adding to 13220 its reverse (2231), we get a palindrome (15451).

The spelling of 13220 in words is "thirteen thousand, two hundred twenty".