10113400441993 has 2 divisors, whose sum is σ = 10113400441994. Its totient is φ = 10113400441992.

The previous prime is 10113400441973. The next prime is 10113400442011. The reversal of 10113400441993 is 39914400431101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8937451056249 + 1175949385744 = 2989557^2 + 1084412^2 .

It is a cyclic number.

It is not a de Polignac number, because 10113400441993 - 2⁹ = 10113400441481 is a prime.

It is not a weakly prime, because it can be changed into another prime (10113400441973) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5056700220996 + 5056700220997.

It is an arithmetic number, because the mean of its divisors is an integer number (5056700220997).

Almost surely, 2^{10113400441993} is an apocalyptic number.

It is an amenable number.

10113400441993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10113400441993 is an equidigital number, since it uses as much as digits as its factorization.

10113400441993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 40.

The spelling of 10113400441993 in words is "ten trillion, one hundred thirteen billion, four hundred million, four hundred forty-one thousand, nine hundred ninety-three".