20113310311200 has 216 divisors, whose sum is σ = 70950600027216. Its totient is φ = 5361580224000.

The previous prime is 20113310311141. The next prime is 20113310311217. The reversal of 20113310311200 is 211301331102.

20113310311200 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 331 + 0 + 311 + 20 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19151755 + ... + 20174645.

It is an arithmetic number, because the mean of its divisors is an integer number (328475000126).

Almost surely, 2^{20113310311200} is an apocalyptic number.

20113310311200 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 20113310311200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35475300013608).

20113310311200 is an abundant number, since it is smaller than the sum of its proper divisors (50837289716016).

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

20113310311200 is a wasteful number, since it uses less digits than its factorization.

20113310311200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025648 (or 1025632 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 20113310311200 its reverse (211301331102), we get a palindrome (20324611642302).

The spelling of 20113310311200 in words is "twenty trillion, one hundred thirteen billion, three hundred ten million, three hundred eleven thousand, two hundred".