200313033020100 has 864 divisors, whose sum is σ = 865798680504576. Its totient is φ = 37383250636800.

The previous prime is 200313033020071. The next prime is 200313033020173. The reversal of 200313033020100 is 1020330313002.

200313033020100 is a `hidden beast` number, since 2 + 0 + 0 + 3 + 130 + 330 + 201 + 0 + 0 = 666.

It is a super-2 number, since 2×200313033020100² (a number of 29 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 30328602 + ... + 36337998.

Almost surely, 2^{200313033020100} is an apocalyptic number.

200313033020100 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 200313033020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432899340252288).

200313033020100 is an abundant number, since it is smaller than the sum of its proper divisors (665485647484476).

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

200313033020100 is a wasteful number, since it uses less digits than its factorization.

200313033020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6009485 (or 6009475 counting only the distinct ones).

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

Adding to 200313033020100 its reverse (1020330313002), we get a palindrome (201333363333102).

The spelling of 200313033020100 in words is "two hundred trillion, three hundred thirteen billion, thirty-three million, twenty thousand, one hundred".