20130013420 has 96 divisors (see below), whose sum is σ = 46973618496. Its totient is φ = 7184409600.

The previous prime is 20130013399. The next prime is 20130013427. The reversal of 20130013420 is 2431003102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20130013394 and 20130013403.

It is not an unprimeable number, because it can be changed into a prime (20130013427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7473594 + ... + 7476286.

It is an arithmetic number, because the mean of its divisors is an integer number (489308526).

Almost surely, 2^20130013420 is an apocalyptic number.

20130013420 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 20130013420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23486809248).

20130013420 is an abundant number, since it is smaller than the sum of its proper divisors (26843605076).

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

20130013420 is a wasteful number, since it uses less digits than its factorization.

20130013420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20130013420 its reverse (2431003102), we get a palindrome (22561016522).

The spelling of 20130013420 in words is "twenty billion, one hundred thirty million, thirteen thousand, four hundred twenty".