213201132201 has 24 divisors (see below), whose sum is σ = 309613119816. Its totient is φ = 141371792640.

The previous prime is 213201132181. The next prime is 213201132203. The reversal of 213201132201 is 102231102312.

213201132201 is a `hidden beast` number, since 21 + 320 + 1 + 1 + 322 + 0 + 1 = 666.

213201132201 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 11758149225 + 201442982976 = 108435^2 + 448824^2 .

It is not a de Polignac number, because 213201132201 - 2⁷ = 213201132073 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213201132203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1216551 + ... + 1380723.

It is an arithmetic number, because the mean of its divisors is an integer number (12900546659).

Almost surely, 2^213201132201 is an apocalyptic number.

It is an amenable number.

213201132201 is a deficient number, since it is larger than the sum of its proper divisors (96411987615).

213201132201 is a wasteful number, since it uses less digits than its factorization.

213201132201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164953 (or 164950 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213201132201 its reverse (102231102312), we get a palindrome (315432234513).

The spelling of 213201132201 in words is "two hundred thirteen billion, two hundred one million, one hundred thirty-two thousand, two hundred one".