11000001103 has 16 divisors (see below), whose sum is σ = 13729153536. Its totient is φ = 8580710880.

The previous prime is 11000001071. The next prime is 11000001109. The reversal of 11000001103 is 30110000011.

It is a happy number.

It is not a de Polignac number, because 11000001103 - 2⁵ = 11000001071 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000001109) 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, 844801 + ... + 857722.

It is an arithmetic number, because the mean of its divisors is an integer number (858072096).

Almost surely, 2^11000001103 is an apocalyptic number.

11000001103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

11000001103 is a deficient number, since it is larger than the sum of its proper divisors (2729152433).

11000001103 is a wasteful number, since it uses less digits than its factorization.

11000001103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1702614.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 11000001103 its reverse (30110000011), we get a palindrome (41110001114).

The spelling of 11000001103 in words is "eleven billion, one thousand, one hundred three".