11101000010011 has 16 divisors (see below), whose sum is σ = 11158592006016. Its totient is φ = 11043498548736.

The previous prime is 11101000009973. The next prime is 11101000010021. The reversal of 11101000010011 is 11001000010111.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11101000010011 - 2²⁷ = 11100865792283 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101000009976 and 11101000010003.

It is not an unprimeable number, because it can be changed into a prime (11101000010021) 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, 1741876621 + ... + 1741882993.

It is an arithmetic number, because the mean of its divisors is an integer number (697412000376).

Almost surely, 2^{11101000010011} is an apocalyptic number.

11101000010011 is a deficient number, since it is larger than the sum of its proper divisors (57591996005).

11101000010011 is a wasteful number, since it uses less digits than its factorization.

11101000010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12102.

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

Adding to 11101000010011 its reverse (11001000010111), we get a palindrome (22102000020122).

The spelling of 11101000010011 in words is "eleven trillion, one hundred one billion, ten thousand, eleven".