213324820641 has 135 divisors (see below), whose sum is σ = 350460770121. Its totient is φ = 129294320256.

The previous prime is 213324820609. The next prime is 213324820733. The reversal of 213324820641 is 146028423312.

The square root of 213324820641 is 461871.

It is a perfect power (a square), and thus also a powerful number.

213324820641 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 2 + 4 + 8 + 2 + 0 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53212801041 + 160112019600 = 230679^2 + 400140^2 .

It is not a de Polignac number, because 213324820641 - 2⁵ = 213324820609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213324820596 and 213324820605.

It is not an unprimeable number, because it can be changed into a prime (213324820741) 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 134 ways as a sum of consecutive naturals, for example, 2922257781 + ... + 2922257853.

Almost surely, 2^213324820641 is an apocalyptic number.

213324820641 is the 461871-st square number.

213324820641 is the 230936-th centered octagonal number.

It is an amenable number.

213324820641 is a deficient number, since it is larger than the sum of its proper divisors (137135949480).

213324820641 is an frugal number, since it uses more digits than its factorization.

213324820641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 213324820641 by its sum of digits (36), we get a square (7679693543076 = 2771226²).

The spelling of 213324820641 in words is "two hundred thirteen billion, three hundred twenty-four million, eight hundred twenty thousand, six hundred forty-one".