13130220 has 48 divisors (see below), whose sum is σ = 37467360. Its totient is φ = 3434496.

The previous prime is 13130177. The next prime is 13130231. The reversal of 13130220 is 2203131.

It is a happy number.

13130220 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13130196 and 13130205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1116 + ... + 5244.

It is an arithmetic number, because the mean of its divisors is an integer number (780570).

Almost surely, 2^13130220 is an apocalyptic number.

13130220 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 13130220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18733680).

13130220 is an abundant number, since it is smaller than the sum of its proper divisors (24337140).

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

13130220 is a wasteful number, since it uses less digits than its factorization.

13130220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194 (or 4192 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 13130220 is about 3623.5645433744. The cubic root of 13130220 is about 235.9159664426.

Adding to 13130220 its reverse (2203131), we get a palindrome (15333351).

The spelling of 13130220 in words is "thirteen million, one hundred thirty thousand, two hundred twenty".