10006115013 has 12 divisors (see below), whose sum is σ = 14463243340. Its totient is φ = 6666143616.

The previous prime is 10006115011. The next prime is 10006115029. The reversal of 10006115013 is 31051160001.

10006115013 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 611 + 50 + 1 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4322010564 + 5684104449 = 65742^2 + 75393^2 .

It is not a de Polignac number, because 10006115013 - 2¹ = 10006115011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006115011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 369508 + ... + 395661.

Almost surely, 2^10006115013 is an apocalyptic number.

It is an amenable number.

10006115013 is a deficient number, since it is larger than the sum of its proper divisors (4457128327).

10006115013 is a wasteful number, since it uses less digits than its factorization.

10006115013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766628 (or 766625 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10006115013 its reverse (31051160001), we get a palindrome (41057275014).

The spelling of 10006115013 in words is "ten billion, six million, one hundred fifteen thousand, thirteen".