103113014008993 has 2 divisors, whose sum is σ = 103113014008994. Its totient is φ = 103113014008992.

The previous prime is 103113014008973. The next prime is 103113014009009. The reversal of 103113014008993 is 399800410311301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89069954785344 + 14043059223649 = 9437688^2 + 3747407^2 .

It is a cyclic number.

It is not a de Polignac number, because 103113014008993 - 2²⁹ = 103112477138081 is a prime.

It is not a weakly prime, because it can be changed into another prime (103113014008903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51556507004496 + 51556507004497.

It is an arithmetic number, because the mean of its divisors is an integer number (51556507004497).

Almost surely, 2^{103113014008993} is an apocalyptic number.

It is an amenable number.

103113014008993 is a deficient number, since it is larger than the sum of its proper divisors (1).

103113014008993 is an equidigital number, since it uses as much as digits as its factorization.

103113014008993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 69984, while the sum is 43.

The spelling of 103113014008993 in words is "one hundred three trillion, one hundred thirteen billion, fourteen million, eight thousand, nine hundred ninety-three".