213003321000 has 128 divisors (see below), whose sum is σ = 665255635200. Its totient is φ = 56742316800.

The previous prime is 213003320993. The next prime is 213003321019. The reversal of 213003321000 is 123300312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2912886 + ... + 2985114.

It is an arithmetic number, because the mean of its divisors is an integer number (5197309650).

Almost surely, 2^213003321000 is an apocalyptic number.

213003321000 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 213003321000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332627817600).

213003321000 is an abundant number, since it is smaller than the sum of its proper divisors (452252314200).

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

213003321000 is a wasteful number, since it uses less digits than its factorization.

213003321000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73236 (or 73222 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 213003321000 its reverse (123300312), we get a palindrome (213126621312).

The spelling of 213003321000 in words is "two hundred thirteen billion, three million, three hundred twenty-one thousand".