213221221000 has 128 divisors (see below), whose sum is σ = 509550912000. Its totient is φ = 83486592000.

The previous prime is 213221220997. The next prime is 213221221007. The reversal of 213221221000 is 122122312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213221221007) by changing a digit.

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, 14093440 + ... + 14108560.

It is an arithmetic number, because the mean of its divisors is an integer number (3980866500).

Almost surely, 2^213221221000 is an apocalyptic number.

213221221000 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 213221221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254775456000).

213221221000 is an abundant number, since it is smaller than the sum of its proper divisors (296329691000).

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

213221221000 is a wasteful number, since it uses less digits than its factorization.

213221221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15440 (or 15426 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 213221221000 its reverse (122122312), we get a palindrome (213343343312).

The spelling of 213221221000 in words is "two hundred thirteen billion, two hundred twenty-one million, two hundred twenty-one thousand".