112133130013321 has 2 divisors, whose sum is σ = 112133130013322. Its totient is φ = 112133130013320.

The previous prime is 112133130013259. The next prime is 112133130013337. The reversal of 112133130013321 is 123310031331211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97490346638400 + 14642783374921 = 9873720^2 + 3826589^2 .

It is an emirp because it is prime and its reverse (123310031331211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 112133130013321 - 2³¹ = 112130982529673 is a prime.

It is not a weakly prime, because it can be changed into another prime (112133130019321) by changing a digit.

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 as a sum of consecutive naturals, namely, 56066565006660 + 56066565006661.

It is an arithmetic number, because the mean of its divisors is an integer number (56066565006661).

Almost surely, 2^{112133130013321} is an apocalyptic number.

It is an amenable number.

112133130013321 is a deficient number, since it is larger than the sum of its proper divisors (1).

112133130013321 is an equidigital number, since it uses as much as digits as its factorization.

112133130013321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 112133130013321 its reverse (123310031331211), we get a palindrome (235443161344532).

The spelling of 112133130013321 in words is "one hundred twelve trillion, one hundred thirty-three billion, one hundred thirty million, thirteen thousand, three hundred twenty-one".