213300310221 has 24 divisors (see below), whose sum is σ = 308565156120. Its totient is φ = 141985872000.

The previous prime is 213300310187. The next prime is 213300310253. The reversal of 213300310221 is 122013003312.

213300310221 is a `hidden beast` number, since 2 + 1 + 330 + 0 + 310 + 2 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 80083340100 + 133216970121 = 282990^2 + 364989^2 .

It is not a de Polignac number, because 213300310221 - 2¹⁷ = 213300179149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213300310194 and 213300310203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213300310271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26326071 + ... + 26334171.

It is an arithmetic number, because the mean of its divisors is an integer number (12856881505).

Almost surely, 2^213300310221 is an apocalyptic number.

It is an amenable number.

213300310221 is a deficient number, since it is larger than the sum of its proper divisors (95264845899).

213300310221 is a wasteful number, since it uses less digits than its factorization.

213300310221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12157 (or 12154 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213300310221 its reverse (122013003312), we get a palindrome (335313313533).

The spelling of 213300310221 in words is "two hundred thirteen billion, three hundred million, three hundred ten thousand, two hundred twenty-one".