212133101333 has 8 divisors (see below), whose sum is σ = 214501629720. Its totient is φ = 209768279040.

The previous prime is 212133101329. The next prime is 212133101347. The reversal of 212133101333 is 333101331212.

212133101333 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 115833357649 + 96299743684 = 340343^2 + 310322^2 .

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 212133101333 - 2² = 212133101329 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212133101299 and 212133101308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212133101533) 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 7 ways as a sum of consecutive naturals, for example, 811328 + ... + 1040441.

It is an arithmetic number, because the mean of its divisors is an integer number (26812703715).

Almost surely, 2^212133101333 is an apocalyptic number.

It is an amenable number.

212133101333 is a deficient number, since it is larger than the sum of its proper divisors (2368528387).

212133101333 is a wasteful number, since it uses less digits than its factorization.

212133101333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853047.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 212133101333 its reverse (333101331212), we get a palindrome (545234432545).

The spelling of 212133101333 in words is "two hundred twelve billion, one hundred thirty-three million, one hundred one thousand, three hundred thirty-three".