10001000999993 has 16 divisors (see below), whose sum is σ = 10358726876160. Its totient is φ = 9649689192000.

The previous prime is 10001000999953. The next prime is 10001001000043. The reversal of 10001000999993 is 39999900010001.

It is not a de Polignac number, because 10001000999993 - 2¹⁴ = 10001000983609 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10001000999903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416843 + ... + 4491743.

It is an arithmetic number, because the mean of its divisors is an integer number (647420429760).

Almost surely, 2^{10001000999993} is an apocalyptic number.

It is an amenable number.

10001000999993 is a deficient number, since it is larger than the sum of its proper divisors (357725876167).

10001000999993 is an equidigital number, since it uses as much as digits as its factorization.

10001000999993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4075688.

The product of its (nonzero) digits is 177147, while the sum is 50.

The spelling of 10001000999993 in words is "ten trillion, one billion, nine hundred ninety-nine thousand, nine hundred ninety-three".