10001111100013 has 8 divisors (see below), whose sum is σ = 10989940268160. Its totient is φ = 9025554806880.

The previous prime is 10001111100011. The next prime is 10001111100047. The reversal of 10001111100013 is 31000111110001.

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 10001111100013 - 2¹ = 10001111100011 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 (10001111100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3318217173 + ... + 3318220186.

It is an arithmetic number, because the mean of its divisors is an integer number (1373742533520).

Almost surely, 2^{10001111100013} is an apocalyptic number.

It is an amenable number.

10001111100013 is a deficient number, since it is larger than the sum of its proper divisors (988829168147).

10001111100013 is a wasteful number, since it uses less digits than its factorization.

10001111100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636437507.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 10001111100013 its reverse (31000111110001), we get a palindrome (41001222210014).

It can be divided in two parts, 1000111110001 and 3, that multiplied together give a palindrome (3000333330003).

The spelling of 10001111100013 in words is "ten trillion, one billion, one hundred eleven million, one hundred thousand, thirteen".