212133324033 has 64 divisors (see below), whose sum is σ = 324611884800. Its totient is φ = 136830021120.

The previous prime is 212133324019. The next prime is 212133324047. The reversal of 212133324033 is 330423331212.

212133324033 is a `hidden beast` number, since 212 + 13 + 3 + 32 + 403 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (212133324019) and next prime (212133324047).

It is not a de Polignac number, because 212133324033 - 2⁸ = 212133323777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212133323988 and 212133324006.

It is not an unprimeable number, because it can be changed into a prime (212133324833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134345838 + ... + 134347416.

It is an arithmetic number, because the mean of its divisors is an integer number (5072060700).

Almost surely, 2^212133324033 is an apocalyptic number.

It is an amenable number.

212133324033 is a deficient number, since it is larger than the sum of its proper divisors (112478560767).

212133324033 is a wasteful number, since it uses less digits than its factorization.

212133324033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2559 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 212133324033 its reverse (330423331212), we get a palindrome (542556655245).

The spelling of 212133324033 in words is "two hundred twelve billion, one hundred thirty-three million, three hundred twenty-four thousand, thirty-three".