2113002003112 has 384 divisors, whose sum is σ = 5435169062400. Its totient is φ = 749295360000.

The previous prime is 2113002003089. The next prime is 2113002003113.

2113002003112 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2113002003113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3905733562 + ... + 3905734102.

It is an arithmetic number, because the mean of its divisors is an integer number (14154086100).

Almost surely, 2^{2113002003112} is an apocalyptic number.

2113002003112 is a gapful number since it is divisible by the number (22) 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 2113002003112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2717584531200).

2113002003112 is an abundant number, since it is smaller than the sum of its proper divisors (3322167059288).

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

2113002003112 is a wasteful number, since it uses less digits than its factorization.

2113002003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The spelling of 2113002003112 in words is "two trillion, one hundred thirteen billion, two million, three thousand, one hundred twelve".