112003011312133 has 2 divisors, whose sum is σ = 112003011312134. Its totient is φ = 112003011312132.

The previous prime is 112003011312131. The next prime is 112003011312149. The reversal of 112003011312133 is 331213110300211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80359427492964 + 31643583819169 = 8964342^2 + 5625263^2 .

It is a cyclic number.

It is not a de Polignac number, because 112003011312133 - 2¹ = 112003011312131 is a prime.

Together with 112003011312131, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112003011312131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56001505656066 + 56001505656067.

It is an arithmetic number, because the mean of its divisors is an integer number (56001505656067).

Almost surely, 2^{112003011312133} is an apocalyptic number.

It is an amenable number.

112003011312133 is a deficient number, since it is larger than the sum of its proper divisors (1).

112003011312133 is an equidigital number, since it uses as much as digits as its factorization.

112003011312133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 112003011312133 its reverse (331213110300211), we get a palindrome (443216121612344).

The spelling of 112003011312133 in words is "one hundred twelve trillion, three billion, eleven million, three hundred twelve thousand, one hundred thirty-three".