200213331120 has 800 divisors, whose sum is σ = 800363773440. Its totient is φ = 45911162880.

The previous prime is 200213331067. The next prime is 200213331163. The reversal of 200213331120 is 21133312002.

200213331120 is a `hidden beast` number, since 2 + 0 + 0 + 213 + 331 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 200213331093 and 200213331102.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 159025051 + ... + 159026309.

Almost surely, 2^200213331120 is an apocalyptic number.

200213331120 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 200213331120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400181886720).

200213331120 is an abundant number, since it is smaller than the sum of its proper divisors (600150442320).

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

200213331120 is a wasteful number, since it uses less digits than its factorization.

200213331120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1400 counting only the distinct ones).

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

Adding to 200213331120 its reverse (21133312002), we get a palindrome (221346643122).

The spelling of 200213331120 in words is "two hundred billion, two hundred thirteen million, three hundred thirty-one thousand, one hundred twenty".