2013112130100 has 288 divisors, whose sum is σ = 5935492354176. Its totient is φ = 526727577600.

The previous prime is 2013112130093. The next prime is 2013112130123. The reversal of 2013112130100 is 10312113102.

It is a happy number.

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 2013112130100.

It is a congruent number.

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, 2482258695 + ... + 2482259505.

It is an arithmetic number, because the mean of its divisors is an integer number (20609348452).

Almost surely, 2^{2013112130100} is an apocalyptic number.

2013112130100 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 2013112130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967746177088).

2013112130100 is an abundant number, since it is smaller than the sum of its proper divisors (3922380224076).

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

2013112130100 is a wasteful number, since it uses less digits than its factorization.

2013112130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1555 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 2013112130100 its reverse (10312113102), we get a palindrome (2023424243202).

The spelling of 2013112130100 in words is "two trillion, thirteen billion, one hundred twelve million, one hundred thirty thousand, one hundred".