20113143523200 has 6144 divisors, whose sum is σ = 101738488320000. Its totient is φ = 3839258787840.

The previous prime is 20113143523181. The next prime is 20113143523211. The reversal of 20113143523200 is 232534131102.

20113143523200 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 3 + 1 + 435 + 23 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 242327030359 + ... + 242327030441.

It is an arithmetic number, because the mean of its divisors is an integer number (16558998750).

Almost surely, 2^{20113143523200} is an apocalyptic number.

20113143523200 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 20113143523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50869244160000).

20113143523200 is an abundant number, since it is smaller than the sum of its proper divisors (81625344796800).

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

20113143523200 is a wasteful number, since it uses less digits than its factorization.

20113143523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 20113143523200 its reverse (232534131102), we get a palindrome (20345677654302).

The spelling of 20113143523200 in words is "twenty trillion, one hundred thirteen billion, one hundred forty-three million, five hundred twenty-three thousand, two hundred".