2013100230020 has 96 divisors (see below), whose sum is σ = 4638029590656. Its totient is φ = 727881523200.

The previous prime is 2013100229983. The next prime is 2013100230041. The reversal of 2013100230020 is 200320013102.

It is a happy number.

It is a super-2 number, since 2×2013100230020² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013100229977 and 2013100230004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94292987 + ... + 94314333.

It is an arithmetic number, because the mean of its divisors is an integer number (48312808236).

Almost surely, 2^{2013100230020} is an apocalyptic number.

2013100230020 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 2013100230020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2319014795328).

2013100230020 is an abundant number, since it is smaller than the sum of its proper divisors (2624929360636).

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

2013100230020 is a wasteful number, since it uses less digits than its factorization.

2013100230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23781 (or 23779 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 2013100230020 its reverse (200320013102), we get a palindrome (2213420243122).

The spelling of 2013100230020 in words is "two trillion, thirteen billion, one hundred million, two hundred thirty thousand, twenty".