2113424243112 has 256 divisors, whose sum is σ = 6535355904000. Its totient is φ = 554605221888.

The previous prime is 2113424243107. The next prime is 2113424243141.

It is a happy number.

2113424243112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2113424243112.

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, 648486939 + ... + 648490197.

It is an arithmetic number, because the mean of its divisors is an integer number (25528734000).

Almost surely, 2^{2113424243112} 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 2113424243112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267677952000).

2113424243112 is an abundant number, since it is smaller than the sum of its proper divisors (4421931660888).

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

2113424243112 is a wasteful number, since it uses less digits than its factorization.

2113424243112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680 (or 4676 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The spelling of 2113424243112 in words is "two trillion, one hundred thirteen billion, four hundred twenty-four million, two hundred forty-three thousand, one hundred twelve".