200013332300100 has 288 divisors, whose sum is σ = 742723306416000. Its totient is φ = 45635840409600.

The previous prime is 200013332300057. The next prime is 200013332300123. The reversal of 200013332300100 is 1003233310002.

200013332300100 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 1 + 333 + 230 + 0 + 100 = 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 197567325 + ... + 198577124.

It is an arithmetic number, because the mean of its divisors is an integer number (2578900369500).

Almost surely, 2^{200013332300100} is an apocalyptic number.

200013332300100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200013332300100 is an abundant number, since it is smaller than the sum of its proper divisors (542709974115900).

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

200013332300100 is a wasteful number, since it uses less digits than its factorization.

200013332300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396144500 (or 396144487 counting only the distinct ones).

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

Adding to 200013332300100 its reverse (1003233310002), we get a palindrome (201016565610102).

The spelling of 200013332300100 in words is "two hundred trillion, thirteen billion, three hundred thirty-two million, three hundred thousand, one hundred".