213033220200 has 288 divisors, whose sum is σ = 752703620760. Its totient is φ = 53924659200.

The previous prime is 213033220121. The next prime is 213033220303. The reversal of 213033220200 is 2022330312.

It is a happy number.

213033220200 is a `hidden beast` number, since 2 + 130 + 332 + 2 + 0 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7503370884 + 205529849316 = 86622^2 + 453354^2 .

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 71 ways as a sum of consecutive naturals, for example, 2691592 + ... + 2769608.

Almost surely, 2^213033220200 is an apocalyptic number.

213033220200 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 213033220200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376351810380).

213033220200 is an abundant number, since it is smaller than the sum of its proper divisors (539670400560).

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

213033220200 is a wasteful number, since it uses less digits than its factorization.

213033220200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78117 (or 78105 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 213033220200 its reverse (2022330312), we get a palindrome (215055550512).

The spelling of 213033220200 in words is "two hundred thirteen billion, thirty-three million, two hundred twenty thousand, two hundred".