2112133321332 has 36 divisors (see below), whose sum is σ = 5340091715140. Its totient is φ = 703900962432.

The previous prime is 2112133321307. The next prime is 2112133321429. The reversal of 2112133321332 is 2331233312112.

2112133321332 is a `hidden beast` number, since 2 + 1 + 1 + 2 + 1 + 3 + 3 + 321 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2074878917136 + 37254404196 = 1440444^2 + 193014^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2112133321332² (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2112133321296 and 2112133321305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5799073 + ... + 6152520.

Almost surely, 2^{2112133321332} is an apocalyptic number.

It is an amenable number.

2112133321332 is an abundant number, since it is smaller than the sum of its proper divisors (3227958393808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112133321332 is a wasteful number, since it uses less digits than its factorization.

2112133321332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11956512 (or 11956507 counting only the distinct ones).

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

Adding to 2112133321332 its reverse (2331233312112), we get a palindrome (4443366633444).

The spelling of 2112133321332 in words is "two trillion, one hundred twelve billion, one hundred thirty-three million, three hundred twenty-one thousand, three hundred thirty-two".