212133213321 has 64 divisors (see below), whose sum is σ = 311802543360. Its totient is φ = 127770255360.

The previous prime is 212133213289. The next prime is 212133213323. The reversal of 212133213321 is 123312331212.

212133213321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212133213321 - 2⁵ = 212133213289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212133213291 and 212133213300.

It is not an unprimeable number, because it can be changed into a prime (212133213323) 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 63 ways as a sum of consecutive naturals, for example, 22714965 + ... + 22724301.

It is an arithmetic number, because the mean of its divisors is an integer number (4871914740).

Almost surely, 2^212133213321 is an apocalyptic number.

It is an amenable number.

212133213321 is a deficient number, since it is larger than the sum of its proper divisors (99669330039).

212133213321 is a wasteful number, since it uses less digits than its factorization.

212133213321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9594.

The product of its digits is 1296, while the sum is 24.

Adding to 212133213321 its reverse (123312331212), we get a palindrome (335445544533).

The spelling of 212133213321 in words is "two hundred twelve billion, one hundred thirty-three million, two hundred thirteen thousand, three hundred twenty-one".