213220000233 has 48 divisors (see below), whose sum is σ = 320996042640. Its totient is φ = 136259407872.

The previous prime is 213220000207. The next prime is 213220000267. The reversal of 213220000233 is 332000022312.

It is a happy number.

213220000233 is a `hidden beast` number, since 213 + 220 + 0 + 0 + 0 + 233 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2872102464 + 210347897769 = 53592^2 + 458637^2 .

It is not a de Polignac number, because 213220000233 - 2⁹ = 213219999721 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213220000633) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24523435 + ... + 24532127.

It is an arithmetic number, because the mean of its divisors is an integer number (6687417555).

Almost surely, 2^213220000233 is an apocalyptic number.

It is an amenable number.

213220000233 is a deficient number, since it is larger than the sum of its proper divisors (107776042407).

213220000233 is a wasteful number, since it uses less digits than its factorization.

213220000233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9818 (or 9815 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 213220000233 its reverse (332000022312), we get a palindrome (545220022545).

The spelling of 213220000233 in words is "two hundred thirteen billion, two hundred twenty million, two hundred thirty-three", and thus it is an aban number.