212134133133 has 36 divisors (see below), whose sum is σ = 332846984340. Its totient is φ = 130131975168.

The previous prime is 212134133083. The next prime is 212134133171. The reversal of 212134133133 is 331331431212.

212134133133 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 341 + 3 + 313 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18686343204 + 193447789929 = 136698^2 + 439827^2 .

It is not a de Polignac number, because 212134133133 - 2¹⁰ = 212134132109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212134133097 and 212134133106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212134138133) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262173 + ... + 702141.

It is an arithmetic number, because the mean of its divisors is an integer number (9245749565).

Almost surely, 2^212134133133 is an apocalyptic number.

It is an amenable number.

212134133133 is a deficient number, since it is larger than the sum of its proper divisors (120712851207).

212134133133 is a wasteful number, since it uses less digits than its factorization.

212134133133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440318 (or 440302 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 212134133133 its reverse (331331431212), we get a palindrome (543465564345).

The spelling of 212134133133 in words is "two hundred twelve billion, one hundred thirty-four million, one hundred thirty-three thousand, one hundred thirty-three".