20130130020 has 288 divisors, whose sum is σ = 77031029376. Its totient is φ = 3861043200.

The previous prime is 20130130003. The next prime is 20130130061. The reversal of 20130130020 is 2003103102.

It is a happy number.

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 = 20130129978 and 20130130005.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 396480 + ... + 444360.

It is an arithmetic number, because the mean of its divisors is an integer number (267468852).

Almost surely, 2^20130130020 is an apocalyptic number.

20130130020 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 20130130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38515514688).

20130130020 is an abundant number, since it is smaller than the sum of its proper divisors (56900899356).

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

20130130020 is a wasteful number, since it uses less digits than its factorization.

20130130020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47931 (or 47922 counting only the distinct ones).

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

Adding to 20130130020 its reverse (2003103102), we get a palindrome (22133233122).

The spelling of 20130130020 in words is "twenty billion, one hundred thirty million, one hundred thirty thousand, twenty".