112122313310933 has 2 divisors, whose sum is σ = 112122313310934. Its totient is φ = 112122313310932.

The previous prime is 112122313310827. The next prime is 112122313310939. The reversal of 112122313310933 is 339013313221211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63857711174404 + 48264602136529 = 7991102^2 + 6947273^2 .

It is a cyclic number.

It is not a de Polignac number, because 112122313310933 - 2⁸ = 112122313310677 is a prime.

It is a super-3 number, since 3×112122313310933³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112122313310893 and 112122313310902.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112122313310939) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56061156655466 + 56061156655467.

It is an arithmetic number, because the mean of its divisors is an integer number (56061156655467).

Almost surely, 2^{112122313310933} is an apocalyptic number.

It is an amenable number.

112122313310933 is a deficient number, since it is larger than the sum of its proper divisors (1).

112122313310933 is an equidigital number, since it uses as much as digits as its factorization.

112122313310933 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 112122313310933 in words is "one hundred twelve trillion, one hundred twenty-two billion, three hundred thirteen million, three hundred ten thousand, nine hundred thirty-three".