2013100130020 has 96 divisors (see below), whose sum is σ = 4938498367488. Its totient is φ = 674937121152.

The previous prime is 2013100130017. The next prime is 2013100130057. The reversal of 2013100130020 is 200310013102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7521009 + ... + 7784071.

It is an arithmetic number, because the mean of its divisors is an integer number (51442691328).

Almost surely, 2^{2013100130020} is an apocalyptic number.

2013100130020 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 2013100130020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469249183744).

2013100130020 is an abundant number, since it is smaller than the sum of its proper divisors (2925398237468).

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

2013100130020 is a wasteful number, since it uses less digits than its factorization.

2013100130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264289 (or 264287 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2013100130020 its reverse (200310013102), we get a palindrome (2213410143122).

The spelling of 2013100130020 in words is "two trillion, thirteen billion, one hundred million, one hundred thirty thousand, twenty".