213022322000 has 160 divisors (see below), whose sum is σ = 528464926080. Its totient is φ = 83024409600.

The previous prime is 213022321997. The next prime is 213022322003. The reversal of 213022322000 is 223220312.

It is an interprime number because it is at equal distance from previous prime (213022321997) and next prime (213022322003).

It is a self number, because there is not a number n which added to its sum of digits gives 213022322000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213022322003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12109211 + ... + 12126789.

It is an arithmetic number, because the mean of its divisors is an integer number (3302905788).

Almost surely, 2^213022322000 is an apocalyptic number.

213022322000 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 213022322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264232463040).

213022322000 is an abundant number, since it is smaller than the sum of its proper divisors (315442604080).

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

213022322000 is a wasteful number, since it uses less digits than its factorization.

213022322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17758 (or 17742 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 213022322000 its reverse (223220312), we get a palindrome (213245542312).

The spelling of 213022322000 in words is "two hundred thirteen billion, twenty-two million, three hundred twenty-two thousand".