213221033000 has 128 divisors (see below), whose sum is σ = 511622092800. Its totient is φ = 83124288000.

The previous prime is 213221032991. The next prime is 213221033021. The reversal of 213221033000 is 330122312.

It is a self number, because there is not a number n which added to its sum of digits gives 213221033000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54405041 + ... + 54408959.

It is an arithmetic number, because the mean of its divisors is an integer number (3997047600).

Almost surely, 2^213221033000 is an apocalyptic number.

213221033000 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 213221033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255811046400).

213221033000 is an abundant number, since it is smaller than the sum of its proper divisors (298401059800).

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

213221033000 is a wasteful number, since it uses less digits than its factorization.

213221033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5308 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 213221033000 its reverse (330122312), we get a palindrome (213551155312).

The spelling of 213221033000 in words is "two hundred thirteen billion, two hundred twenty-one million, thirty-three thousand".