10011011100011 has 16 divisors (see below), whose sum is σ = 10800628993728. Its totient is φ = 9243721344000.

The previous prime is 10011011100001. The next prime is 10011011100067. The reversal of 10011011100011 is 11000111011001.

It is a cyclic number.

It is not a de Polignac number, because 10011011100011 - 2²² = 10011006905707 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10011011100001) 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, 13099271 + ... + 13842431.

It is an arithmetic number, because the mean of its divisors is an integer number (675039312108).

Almost surely, 2^{10011011100011} is an apocalyptic number.

10011011100011 is a deficient number, since it is larger than the sum of its proper divisors (789617893717).

10011011100011 is a wasteful number, since it uses less digits than its factorization.

10011011100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758182.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10011011100011 its reverse (11000111011001), we get a palindrome (21011122111012).

The spelling of 10011011100011 in words is "ten trillion, eleven billion, eleven million, one hundred thousand, eleven".