11000113003 has 16 divisors (see below), whose sum is σ = 12093290496. Its totient is φ = 9922760640.

The previous prime is 11000112961. The next prime is 11000113013. The reversal of 11000113003 is 30031100011.

It is a cyclic number.

It is not a de Polignac number, because 11000113003 - 2³³ = 2410178411 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000113013) 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, 760626 + ... + 774952.

It is an arithmetic number, because the mean of its divisors is an integer number (755830656).

Almost surely, 2^11000113003 is an apocalyptic number.

11000113003 is a deficient number, since it is larger than the sum of its proper divisors (1093177493).

11000113003 is a wasteful number, since it uses less digits than its factorization.

11000113003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14874.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 11000113003 its reverse (30031100011), we get a palindrome (41031213014).

It can be divided in two parts, 1100011 and 3003, that multiplied together give a palindrome (3303333033).

The spelling of 11000113003 in words is "eleven billion, one hundred thirteen thousand, three".