999993000013 has 8 divisors (see below), whose sum is σ = 1202999097920. Its totient is φ = 812024390880.

The previous prime is 999992999987. The next prime is 999993000037. The reversal of 999993000013 is 310000399999.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 999993000013 - 2⁹ = 999992999501 is a prime.

It is a super-3 number, since 3×999993000013³ (a number of 37 digits) contains 333 as substring.

It is the 999997-th Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (999993001013) by changing a digit.

It is a nontrivial repunit in base 999996.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3759372048 + ... + 3759372313.

It is an arithmetic number, because the mean of its divisors is an integer number (150374887240).

Almost surely, 2^999993000013 is an apocalyptic number.

It is an amenable number.

999993000013 is a deficient number, since it is larger than the sum of its proper divisors (203006097907).

999993000013 is a wasteful number, since it uses less digits than its factorization.

999993000013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7518744387.

The product of its (nonzero) digits is 531441, while the sum is 52.

The spelling of 999993000013 in words is "nine hundred ninety-nine billion, nine hundred ninety-three million, thirteen", and thus it is an aban number.