212133112321 has 8 divisors (see below), whose sum is σ = 229634730920. Its totient is φ = 194800591872.

The previous prime is 212133112319. The next prime is 212133112343. The reversal of 212133112321 is 123211331212.

It can be written as a sum of positive squares in 4 ways, for example, as 10028019600 + 202105092721 = 100140^2 + 449561^2 .

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 212133112321 - 2¹ = 212133112319 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212133112292 and 212133112301.

It is not an unprimeable number, because it can be changed into a prime (212133112351) 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, 42271926 + ... + 42276943.

It is an arithmetic number, because the mean of its divisors is an integer number (28704341365).

Almost surely, 2^212133112321 is an apocalyptic number.

It is an amenable number.

212133112321 is a deficient number, since it is larger than the sum of its proper divisors (17501618599).

212133112321 is a wasteful number, since it uses less digits than its factorization.

212133112321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84549075.

The product of its digits is 432, while the sum is 22.

Adding to 212133112321 its reverse (123211331212), we get a palindrome (335344443533).

The spelling of 212133112321 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred twelve thousand, three hundred twenty-one".