112320312000133 has 2 divisors, whose sum is σ = 112320312000134. Its totient is φ = 112320312000132.

The previous prime is 112320312000097. The next prime is 112320312000161. The reversal of 112320312000133 is 331000213023211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 112033291438084 + 287020562049 = 10584578^2 + 535743^2 .

It is an emirp because it is prime and its reverse (331000213023211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112320312000133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112320312000833) 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, 56160156000066 + 56160156000067.

It is an arithmetic number, because the mean of its divisors is an integer number (56160156000067).

Almost surely, 2^{112320312000133} is an apocalyptic number.

It is an amenable number.

112320312000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

112320312000133 is an equidigital number, since it uses as much as digits as its factorization.

112320312000133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 112320312000133 its reverse (331000213023211), we get a palindrome (443320525023344).

The spelling of 112320312000133 in words is "one hundred twelve trillion, three hundred twenty billion, three hundred twelve million, one hundred thirty-three", and thus it is an aban number.