112613307761993 has 2 divisors, whose sum is σ = 112613307761994. Its totient is φ = 112613307761992.

The previous prime is 112613307761987. The next prime is 112613307762017. The reversal of 112613307761993 is 399167703316211.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110309080912969 + 2304226849024 = 10502813^2 + 1517968^2 .

It is an emirp because it is prime and its reverse (399167703316211) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-112613307761993 is a prime.

It is not a weakly prime, because it can be changed into another prime (112613307767993) 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, 56306653880996 + 56306653880997.

It is an arithmetic number, because the mean of its divisors is an integer number (56306653880997).

Almost surely, 2^{112613307761993} is an apocalyptic number.

It is an amenable number.

112613307761993 is a deficient number, since it is larger than the sum of its proper divisors (1).

112613307761993 is an equidigital number, since it uses as much as digits as its factorization.

112613307761993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7715736, while the sum is 59.

The spelling of 112613307761993 in words is "one hundred twelve trillion, six hundred thirteen billion, three hundred seven million, seven hundred sixty-one thousand, nine hundred ninety-three".