2113330434120 has 256 divisors, whose sum is σ = 7298865504000. Its totient is φ = 543469989888.

The previous prime is 2113330434109. The next prime is 2113330434151. The reversal of 2113330434120 is 214340333112.

It is a happy number.

2113330434120 is a `hidden beast` number, since 2 + 1 + 13 + 3 + 304 + 341 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4281471 + ... + 4749489.

It is an arithmetic number, because the mean of its divisors is an integer number (28511193375).

Almost surely, 2^{2113330434120} is an apocalyptic number.

2113330434120 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 2113330434120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649432752000).

2113330434120 is an abundant number, since it is smaller than the sum of its proper divisors (5185535069880).

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

2113330434120 is a wasteful number, since it uses less digits than its factorization.

2113330434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468189 (or 468179 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2113330434120 its reverse (214340333112), we get a palindrome (2327670767232).

The spelling of 2113330434120 in words is "two trillion, one hundred thirteen billion, three hundred thirty million, four hundred thirty-four thousand, one hundred twenty".