332032100312133 has 24 divisors (see below), whose sum is σ = 516497496879000. Its totient is φ = 204326212608000.

The previous prime is 332032100312089. The next prime is 332032100312183. The reversal of 332032100312133 is 331213001230233.

332032100312133 is a `hidden beast` number, since 3 + 3 + 2 + 0 + 3 + 210 + 0 + 312 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 128210849858529 + 203821250453604 = 11323023^2 + 14276598^2 .

It is not a de Polignac number, because 332032100312133 - 2⁹ = 332032100311621 is a prime.

It is a super-2 number, since 2×332032100312133² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332032100312097 and 332032100312106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332032100312183) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11084133 + ... + 28052133.

It is an arithmetic number, because the mean of its divisors is an integer number (21520729036625).

Almost surely, 2^{332032100312133} is an apocalyptic number.

It is an amenable number.

332032100312133 is a deficient number, since it is larger than the sum of its proper divisors (184465396566867).

332032100312133 is a wasteful number, since it uses less digits than its factorization.

332032100312133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17135269 (or 17135266 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 332032100312133 its reverse (331213001230233), we get a palindrome (663245101542366).

The spelling of 332032100312133 in words is "three hundred thirty-two trillion, thirty-two billion, one hundred million, three hundred twelve thousand, one hundred thirty-three".