20033113300200 has 1152 divisors, whose sum is σ = 92772819659520. Its totient is φ = 3738651033600.

The previous prime is 20033113300171. The next prime is 20033113300201. The reversal of 20033113300200 is 200331133002.

20033113300200 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 311 + 330 + 0 + 20 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (20033113300201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 66516352 + ... + 66816848.

It is an arithmetic number, because the mean of its divisors is an integer number (80531961510).

Almost surely, 2^{20033113300200} is an apocalyptic number.

20033113300200 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 20033113300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46386409829760).

20033113300200 is an abundant number, since it is smaller than the sum of its proper divisors (72739706359320).

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

20033113300200 is a wasteful number, since it uses less digits than its factorization.

20033113300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300587 (or 300575 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 20033113300200 its reverse (200331133002), we get a palindrome (20233444433202).

20033113300200 divided by its reverse (200331133002) gives a square (100 = 10²).

It can be divided in two parts, 200331 and 13300200, that added together give a palindrome (13500531).

The spelling of 20033113300200 in words is "twenty trillion, thirty-three billion, one hundred thirteen million, three hundred thousand, two hundred".