212133322133233 has 8 divisors (see below), whose sum is σ = 212914789585128. Its totient is φ = 211351967222784.

The previous prime is 212133322133219. The next prime is 212133322133261. The reversal of 212133322133233 is 332331223331212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3406302110689 + 208727020022544 = 1845617^2 + 14447388^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 212133322133233 - 2²⁵ = 212133288578801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212133322433233) 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, 24357616 + ... + 31899217.

It is an arithmetic number, because the mean of its divisors is an integer number (26614348698141).

Almost surely, 2^{212133322133233} is an apocalyptic number.

It is an amenable number.

212133322133233 is a deficient number, since it is larger than the sum of its proper divisors (781467451895).

212133322133233 is a wasteful number, since it uses less digits than its factorization.

212133322133233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56270723.

The product of its digits is 69984, while the sum is 34.

Adding to 212133322133233 its reverse (332331223331212), we get a palindrome (544464545464445).

The spelling of 212133322133233 in words is "two hundred twelve trillion, one hundred thirty-three billion, three hundred twenty-two million, one hundred thirty-three thousand, two hundred thirty-three".