112122313310133 has 18 divisors (see below), whose sum is σ = 188395995834774. Its totient is φ = 64069893319824.

The previous prime is 112122313310107. The next prime is 112122313310159. The reversal of 112122313310133 is 331013313221211.

112122313310133 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 2 + 2 + 313 + 310 + 1 + 33 = 666.

It is an interprime number because it is at equal distance from previous prime (112122313310107) and next prime (112122313310159).

It can be written as a sum of positive squares in only one way, i.e., 87187001410404 + 24935311899729 = 9337398^2 + 4993527^2 .

It is not a de Polignac number, because 112122313310133 - 2²⁵ = 112122279755701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112122313310097 and 112122313310106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112122313310933) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 127122803766 + ... + 127122804647.

It is an arithmetic number, because the mean of its divisors is an integer number (10466444213043).

Almost surely, 2^{112122313310133} is an apocalyptic number.

It is an amenable number.

112122313310133 is a deficient number, since it is larger than the sum of its proper divisors (76273682524641).

112122313310133 is a wasteful number, since it uses less digits than its factorization.

112122313310133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254245608433 (or 254245608423 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 112122313310133 its reverse (331013313221211), we get a palindrome (443135626531344).

The spelling of 112122313310133 in words is "one hundred twelve trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred ten thousand, one hundred thirty-three".