112320181241 has 2 divisors, whose sum is σ = 112320181242. Its totient is φ = 112320181240.

The previous prime is 112320181231. The next prime is 112320181249. The reversal of 112320181241 is 142181023211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 107610241600 + 4709939641 = 328040^2 + 68629^2 .

It is an emirp because it is prime and its reverse (142181023211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112320181241 is a prime.

It is a super-3 number, since 3×112320181241³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 112320181241.

It is not a weakly prime, because it can be changed into another prime (112320181249) 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, 56160090620 + 56160090621.

It is an arithmetic number, because the mean of its divisors is an integer number (56160090621).

Almost surely, 2^112320181241 is an apocalyptic number.

It is an amenable number.

112320181241 is a deficient number, since it is larger than the sum of its proper divisors (1).

112320181241 is an equidigital number, since it uses as much as digits as its factorization.

112320181241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 768, while the sum is 26.

The spelling of 112320181241 in words is "one hundred twelve billion, three hundred twenty million, one hundred eighty-one thousand, two hundred forty-one".