2113330104200 has 144 divisors (see below), whose sum is σ = 5716478067300. Its totient is φ = 724471104000.

The previous prime is 2113330104173. The next prime is 2113330104203. The reversal of 2113330104200 is 24010333112.

It can be written as a sum of positive squares in 6 ways, for example, as 1844962590436 + 268367513764 = 1358294^2 + 518042^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2113330104203) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 129636050 + ... + 129652350.

Almost surely, 2^{2113330104200} is an apocalyptic number.

2113330104200 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 2113330104200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858239033650).

2113330104200 is an abundant number, since it is smaller than the sum of its proper divisors (3603147963100).

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

2113330104200 is a wasteful number, since it uses less digits than its factorization.

2113330104200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29560 (or 29544 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2113330104200 its reverse (24010333112), we get a palindrome (2137340437312).

The spelling of 2113330104200 in words is "two trillion, one hundred thirteen billion, three hundred thirty million, one hundred four thousand, two hundred".