213304142234320 has 40 divisors (see below), whose sum is σ = 496554379438824. Its totient is φ = 85214603346432.

The previous prime is 213304142234317. The next prime is 213304142234321. The reversal of 213304142234320 is 23432241403312.

213304142234320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2365234836624 + 210938907397696 = 1537932^2 + 14523736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213304142234321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1672647519 + ... + 1672775038.

Almost surely, 2^{213304142234320} is an apocalyptic number.

213304142234320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213304142234320 is an abundant number, since it is smaller than the sum of its proper divisors (283250237204504).

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

213304142234320 is a wasteful number, since it uses less digits than its factorization.

213304142234320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3345423367 (or 3345423361 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 213304142234320 its reverse (23432241403312), we get a palindrome (236736383637632).

The spelling of 213304142234320 in words is "two hundred thirteen trillion, three hundred four billion, one hundred forty-two million, two hundred thirty-four thousand, three hundred twenty".