10000011000011 has 16 divisors (see below), whose sum is σ = 10553635223040. Its totient is φ = 9456599275200.

The previous prime is 10000010999987. The next prime is 10000011000017. The reversal of 10000011000011 is 11000011000001.

It is a cyclic number.

It is not a de Polignac number, because 10000011000011 - 2¹⁸ = 10000010737867 is a prime.

It is a Duffinian number.

10000011000011 is a modest number, since divided by 11000011 gives 10 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10000010999959 and 10000011000004.

It is not an unprimeable number, because it can be changed into a prime (10000011000017) 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, 2088041 + ... + 4935578.

It is an arithmetic number, because the mean of its divisors is an integer number (659602201440).

Almost surely, 2^{10000011000011} is an apocalyptic number.

10000011000011 is a deficient number, since it is larger than the sum of its proper divisors (553624223029).

10000011000011 is a wasteful number, since it uses less digits than its factorization.

10000011000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024346.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10000011000011 its reverse (11000011000001), we get a palindrome (21000022000012).

The spelling of 10000011000011 in words is "ten trillion, eleven million, eleven", and thus it is an aban number and an uban number.