20130013320 has 128 divisors (see below), whose sum is σ = 61431091200. Its totient is φ = 5275835136.

The previous prime is 20130013313. The next prime is 20130013399. The reversal of 20130013320 is 2331003102.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20130013320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3848547 + ... + 3853773.

It is an arithmetic number, because the mean of its divisors is an integer number (479930400).

Almost surely, 2^20130013320 is an apocalyptic number.

20130013320 is a gapful number since it is divisible by the number (20) 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 20130013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30715545600).

20130013320 is an abundant number, since it is smaller than the sum of its proper divisors (41301077880).

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

20130013320 is a wasteful number, since it uses less digits than its factorization.

20130013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5787 (or 5783 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20130013320 its reverse (2331003102), we get a palindrome (22461016422).

The spelling of 20130013320 in words is "twenty billion, one hundred thirty million, thirteen thousand, three hundred twenty".