11001100110013 has 8 divisors (see below), whose sum is σ = 11847460228128. Its totient is φ = 10154757370224.

The previous prime is 11001100110001. The next prime is 11001100110017. The reversal of 11001100110013 is 31001100110011.

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 11001100110013 - 2⁵ = 11001100109981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11001100110017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3014731 + ... + 5575912.

It is an arithmetic number, because the mean of its divisors is an integer number (1480932528516).

Almost surely, 2^{11001100110013} is an apocalyptic number.

11001100110013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11001100110013 is a deficient number, since it is larger than the sum of its proper divisors (846360118115).

11001100110013 is an equidigital number, since it uses as much as digits as its factorization.

11001100110013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8689163.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 11001100110013 its reverse (31001100110011), we get a palindrome (42002200220024).

The spelling of 11001100110013 in words is "eleven trillion, one billion, one hundred million, one hundred ten thousand, thirteen".