2113330002112 has 448 divisors, whose sum is σ = 5544898191360. Its totient is φ = 777152102400.

The previous prime is 2113330002103. The next prime is 2113330002137. The reversal of 2113330002112 is 2112000333112.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2113330002112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 865762812 + ... + 865765252.

Almost surely, 2^{2113330002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113330002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2772449095680).

2113330002112 is an abundant number, since it is smaller than the sum of its proper divisors (3431568189248).

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

2113330002112 is a wasteful number, since it uses less digits than its factorization.

2113330002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2113330002112 its reverse (2112000333112), we get a palindrome (4225330335224).

The spelling of 2113330002112 in words is "two trillion, one hundred thirteen billion, three hundred thirty million, two thousand, one hundred twelve".