1000010000993 has 2 divisors, whose sum is σ = 1000010000994. Its totient is φ = 1000010000992.

The previous prime is 1000010000959. The next prime is 1000010001043. The reversal of 1000010000993 is 3990000100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 584052078289 + 415957922704 = 764233^2 + 644948^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010000993 - 2²⁰ = 1000008952417 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000010000903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500005000496 + 500005000497.

It is an arithmetic number, because the mean of its divisors is an integer number (500005000497).

Almost surely, 2^{1000010000993} is an apocalyptic number.

It is an amenable number.

1000010000993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010000993 is an equidigital number, since it uses as much as digits as its factorization.

1000010000993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 23.

Adding to 1000010000993 its reverse (3990000100001), we get a palindrome (4990010100994).

The spelling of 1000010000993 in words is "one trillion, ten million, nine hundred ninety-three", and thus it is an aban number.