213003331200 has 1728 divisors, whose sum is σ = 916538837760. Its totient is φ = 46632960000.

The previous prime is 213003331127. The next prime is 213003331279. The reversal of 213003331200 is 2133300312.

213003331200 is a `hidden beast` number, since 2 + 130 + 0 + 3 + 331 + 200 = 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 215 ways as a sum of consecutive naturals, for example, 5195203180 + ... + 5195203220.

It is an arithmetic number, because the mean of its divisors is an integer number (530404420).

Almost surely, 2^213003331200 is an apocalyptic number.

213003331200 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 213003331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458269418880).

213003331200 is an abundant number, since it is smaller than the sum of its proper divisors (703535506560).

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

213003331200 is a wasteful number, since it uses less digits than its factorization.

213003331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 116 counting only the distinct ones).

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

Adding to 213003331200 its reverse (2133300312), we get a palindrome (215136631512).

The spelling of 213003331200 in words is "two hundred thirteen billion, three million, three hundred thirty-one thousand, two hundred".