110413242313993 has 2 divisors, whose sum is σ = 110413242313994. Its totient is φ = 110413242313992.

The previous prime is 110413242313991. The next prime is 110413242314003. The reversal of 110413242313993 is 399313242314011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89597356185744 + 20815886128249 = 9465588^2 + 4562443^2 .

It is a cyclic number.

It is not a de Polignac number, because 110413242313993 - 2¹ = 110413242313991 is a prime.

Together with 110413242313991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (110413242313991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55206621156996 + 55206621156997.

It is an arithmetic number, because the mean of its divisors is an integer number (55206621156997).

Almost surely, 2^{110413242313993} is an apocalyptic number.

It is an amenable number.

110413242313993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110413242313993 is an equidigital number, since it uses as much as digits as its factorization.

110413242313993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 419904, while the sum is 46.

The spelling of 110413242313993 in words is "one hundred ten trillion, four hundred thirteen billion, two hundred forty-two million, three hundred thirteen thousand, nine hundred ninety-three".