112131120033 has 12 divisors (see below), whose sum is σ = 161985205668. Its totient is φ = 74745757440.

The previous prime is 112131120019. The next prime is 112131120077. The reversal of 112131120033 is 330021131211.

112131120033 is a `hidden beast` number, since 1 + 121 + 311 + 200 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103602228129 + 8528891904 = 321873^2 + 92352^2 .

It is not a de Polignac number, because 112131120033 - 2²⁰ = 112130071457 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112131119988 and 112131120015.

It is not an unprimeable number, because it can be changed into a prime (112131120533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607660 + ... + 770397.

It is an arithmetic number, because the mean of its divisors is an integer number (13498767139).

Almost surely, 2^112131120033 is an apocalyptic number.

It is an amenable number.

112131120033 is a deficient number, since it is larger than the sum of its proper divisors (49854085635).

112131120033 is a wasteful number, since it uses less digits than its factorization.

112131120033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387104 (or 1387101 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112131120033 its reverse (330021131211), we get a palindrome (442152251244).

The spelling of 112131120033 in words is "one hundred twelve billion, one hundred thirty-one million, one hundred twenty thousand, thirty-three".