20100013113330 has 192 divisors, whose sum is σ = 53290294087680. Its totient is φ = 5255388407808.

The previous prime is 20100013113317. The next prime is 20100013113371. The reversal of 20100013113330 is 3331131000102.

It is a happy number.

20100013113330 is a `hidden beast` number, since 20 + 1 + 0 + 0 + 0 + 1 + 311 + 3 + 330 = 666.

20100013113330 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2759849869 + ... + 2759857151.

It is an arithmetic number, because the mean of its divisors is an integer number (277553615040).

Almost surely, 2^{20100013113330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20100013113330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26645147043840).

20100013113330 is an abundant number, since it is smaller than the sum of its proper divisors (33190280974350).

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

20100013113330 is a wasteful number, since it uses less digits than its factorization.

20100013113330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10225 (or 10222 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 20100013113330 its reverse (3331131000102), we get a palindrome (23431144113432).

The spelling of 20100013113330 in words is "twenty trillion, one hundred billion, thirteen million, one hundred thirteen thousand, three hundred thirty".