213002322000 has 320 divisors, whose sum is σ = 740465107200. Its totient is φ = 52366080000.

The previous prime is 213002321989. The next prime is 213002322007. The reversal of 213002322000 is 223200312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213002322007) 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 63 ways as a sum of consecutive naturals, for example, 101476951 + ... + 101479049.

It is an arithmetic number, because the mean of its divisors is an integer number (2313953460).

Almost surely, 2^213002322000 is an apocalyptic number.

213002322000 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 213002322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370232553600).

213002322000 is an abundant number, since it is smaller than the sum of its proper divisors (527462785200).

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

213002322000 is a wasteful number, since it uses less digits than its factorization.

213002322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 213002322000 its reverse (223200312), we get a palindrome (213225522312).

The spelling of 213002322000 in words is "two hundred thirteen billion, two million, three hundred twenty-two thousand".