10001111000011 has 16 divisors (see below), whose sum is σ = 10226332972800. Its totient is φ = 9778163506848.

The previous prime is 10001111000009. The next prime is 10001111000033. The reversal of 10001111000011 is 11000011110001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10001111000011 - 2¹ = 10001111000009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001110999958 and 10001111000003.

It is not an unprimeable number, because it can be changed into a prime (10001111000911) 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 15 ways as a sum of consecutive naturals, for example, 32750850 + ... + 33054808.

It is an arithmetic number, because the mean of its divisors is an integer number (639145810800).

Almost surely, 2^{10001111000011} is an apocalyptic number.

10001111000011 is a deficient number, since it is larger than the sum of its proper divisors (225221972789).

10001111000011 is a wasteful number, since it uses less digits than its factorization.

10001111000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307698.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10001111000011 its reverse (11000011110001), we get a palindrome (21001122110012).

The spelling of 10001111000011 in words is "ten trillion, one billion, one hundred eleven million, eleven", and thus it is an aban number.