11001100100011 has 24 divisors (see below), whose sum is σ = 13026346179840. Its totient is φ = 9260969194512.

The previous prime is 11001100099993. The next prime is 11001100100041. The reversal of 11001100100011 is 11000100110011.

It is a happy number.

It is not a de Polignac number, because 11001100100011 - 2¹³ = 11001100091819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 11001100099967 and 11001100100003.

It is not an unprimeable number, because it can be changed into a prime (11001100100041) 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 23 ways as a sum of consecutive naturals, for example, 1283250 + ... + 4863016.

It is an arithmetic number, because the mean of its divisors is an integer number (542764424160).

Almost surely, 2^{11001100100011} is an apocalyptic number.

11001100100011 is a deficient number, since it is larger than the sum of its proper divisors (2025246079829).

11001100100011 is a wasteful number, since it uses less digits than its factorization.

11001100100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580903 (or 3580896 counting only the distinct ones).

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

Adding to 11001100100011 its reverse (11000100110011), we get a palindrome (22001200210022).

The spelling of 11001100100011 in words is "eleven trillion, one billion, one hundred million, one hundred thousand, eleven".