2000113113000 has 128 divisors (see below), whose sum is σ = 6250776480000. Its totient is φ = 532472595200.

The previous prime is 2000113112999. The next prime is 2000113113023. The reversal of 2000113113000 is 3113110002.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1240486 + ... + 2353514.

It is an arithmetic number, because the mean of its divisors is an integer number (48834191250).

Almost surely, 2^{2000113113000} is an apocalyptic number.

2000113113000 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 2000113113000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3125388240000).

2000113113000 is an abundant number, since it is smaller than the sum of its proper divisors (4250663367000).

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

2000113113000 is a wasteful number, since it uses less digits than its factorization.

2000113113000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113652 (or 1113638 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 2000113113000 its reverse (3113110002), we get a palindrome (2003226223002).

The spelling of 2000113113000 in words is "two trillion, one hundred thirteen million, one hundred thirteen thousand".