112205008078913 has 2 divisors, whose sum is σ = 112205008078914. Its totient is φ = 112205008078912.

The previous prime is 112205008078883. The next prime is 112205008078939. The reversal of 112205008078913 is 319870800502211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88250561507329 + 23954446571584 = 9394177^2 + 4894328^2 .

It is a cyclic number.

It is not a de Polignac number, because 112205008078913 - 2³⁸ = 111930130171969 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (112205008078993) 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, 56102504039456 + 56102504039457.

It is an arithmetic number, because the mean of its divisors is an integer number (56102504039457).

Almost surely, 2^{112205008078913} is an apocalyptic number.

It is an amenable number.

112205008078913 is a deficient number, since it is larger than the sum of its proper divisors (1).

112205008078913 is an equidigital number, since it uses as much as digits as its factorization.

112205008078913 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 47.

The spelling of 112205008078913 in words is "one hundred twelve trillion, two hundred five billion, eight million, seventy-eight thousand, nine hundred thirteen".