112302312193 has 2 divisors, whose sum is σ = 112302312194. Its totient is φ = 112302312192.

The previous prime is 112302312191. The next prime is 112302312217. The reversal of 112302312193 is 391213203211.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104935179969 + 7367132224 = 323937^2 + 85832^2 .

It is a cyclic number.

It is not a de Polignac number, because 112302312193 - 2¹ = 112302312191 is a prime.

It is a super-2 number, since 2×112302312193² (a number of 23 digits) contains 22 as substring.

Together with 112302312191, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (112302312191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56151156096 + 56151156097.

It is an arithmetic number, because the mean of its divisors is an integer number (56151156097).

Almost surely, 2^112302312193 is an apocalyptic number.

It is an amenable number.

112302312193 is a deficient number, since it is larger than the sum of its proper divisors (1).

112302312193 is an equidigital number, since it uses as much as digits as its factorization.

112302312193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 28.

The spelling of 112302312193 in words is "one hundred twelve billion, three hundred two million, three hundred twelve thousand, one hundred ninety-three".