10010003113993 has 2 divisors, whose sum is σ = 10010003113994. Its totient is φ = 10010003113992.

The previous prime is 10010003113819. The next prime is 10010003114087. The reversal of 10010003113993 is 39931130001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7041125934144 + 2968877179849 = 2653512^2 + 1723043^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010003113993 - 2³⁷ = 9872564160521 is a prime.

It is not a weakly prime, because it can be changed into another prime (10010003111993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005001556996 + 5005001556997.

It is an arithmetic number, because the mean of its divisors is an integer number (5005001556997).

Almost surely, 2^{10010003113993} is an apocalyptic number.

It is an amenable number.

10010003113993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010003113993 is an equidigital number, since it uses as much as digits as its factorization.

10010003113993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2187, while the sum is 31.

Adding to 10010003113993 its reverse (39931130001001), we get a palindrome (49941133114994).

The spelling of 10010003113993 in words is "ten trillion, ten billion, three million, one hundred thirteen thousand, nine hundred ninety-three".