11011100013 has 16 divisors (see below), whose sum is σ = 16315027840. Its totient is φ = 7339704192.

The previous prime is 11011100003. The next prime is 11011100047. The reversal of 11011100013 is 31000111011.

It is not a de Polignac number, because 11011100013 - 2⁴ = 11011099997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011099968 and 11011100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11011100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201120 + ... + 249942.

It is an arithmetic number, because the mean of its divisors is an integer number (1019689240).

Almost surely, 2^11011100013 is an apocalyptic number.

It is an amenable number.

11011100013 is a deficient number, since it is larger than the sum of its proper divisors (5303927827).

11011100013 is an equidigital number, since it uses as much as digits as its factorization.

11011100013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57185 (or 57179 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 11011100013 its reverse (31000111011), we get a palindrome (42011211024).

The spelling of 11011100013 in words is "eleven billion, eleven million, one hundred thousand, thirteen".