20133131020200 has 288 divisors, whose sum is σ = 74969663464800. Its totient is φ = 4800746304000.

The previous prime is 20133131020183. The next prime is 20133131020207. The reversal of 20133131020200 is 202013133102.

20133131020200 is a `hidden beast` number, since 2 + 0 + 1 + 331 + 310 + 2 + 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 (20133131020207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7126830 + ... + 9542429.

It is an arithmetic number, because the mean of its divisors is an integer number (260311331475).

Almost surely, 2^{20133131020200} is an apocalyptic number.

20133131020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133131020200 is an abundant number, since it is smaller than the sum of its proper divisors (54836532444600).

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

20133131020200 is a wasteful number, since it uses less digits than its factorization.

20133131020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16669353 (or 16669341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20133131020200 its reverse (202013133102), we get a palindrome (20335144153302).

The spelling of 20133131020200 in words is "twenty trillion, one hundred thirty-three billion, one hundred thirty-one million, twenty thousand, two hundred".