10011000110011 has 8 divisors (see below), whose sum is σ = 10055050632000. Its totient is φ = 9966967617600.

The previous prime is 10011000109993. The next prime is 10011000110039. The reversal of 10011000110011 is 11001100011001.

It is a happy number.

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 10011000110011 - 2²⁹ = 10010463239099 is a prime.

It is a Duffinian number.

10011000110011 is a modest number, since divided by 110011 gives 100110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10011000109976 and 10011000110003.

It is not an unprimeable number, because it can be changed into a prime (10011000117011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3393840 + ... + 5616061.

It is an arithmetic number, because the mean of its divisors is an integer number (1256881329000).

Almost surely, 2^{10011000110011} is an apocalyptic number.

10011000110011 is a deficient number, since it is larger than the sum of its proper divisors (44050521989).

10011000110011 is an equidigital number, since it uses as much as digits as its factorization.

10011000110011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014789.

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

Adding to 10011000110011 its reverse (11001100011001), we get a palindrome (21012100121012).

The spelling of 10011000110011 in words is "ten trillion, eleven billion, one hundred ten thousand, eleven".