213205340320 has 192 divisors, whose sum is σ = 586877550336. Its totient is φ = 71686840320.

The previous prime is 213205340311. The next prime is 213205340329. The reversal of 213205340320 is 23043502312.

It is an interprime number because it is at equal distance from previous prime (213205340311) and next prime (213205340329).

It is not an unprimeable number, because it can be changed into a prime (213205340329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12727150 + ... + 12743890.

It is an arithmetic number, because the mean of its divisors is an integer number (3056653908).

Almost surely, 2^213205340320 is an apocalyptic number.

213205340320 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 213205340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293438775168).

213205340320 is an abundant number, since it is smaller than the sum of its proper divisors (373672210016).

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

213205340320 is a wasteful number, since it uses less digits than its factorization.

213205340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16983 (or 16975 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 213205340320 its reverse (23043502312), we get a palindrome (236248842632).

The spelling of 213205340320 in words is "two hundred thirteen billion, two hundred five million, three hundred forty thousand, three hundred twenty".