11000010101003 has 16 divisors (see below), whose sum is σ = 13774186095360. Its totient is φ = 8534006575200.

The previous prime is 11000010100991. The next prime is 11000010101009. The reversal of 11000010101003 is 30010101000011.

It is a cyclic number.

It is not a de Polignac number, because 11000010101003 - 2⁶ = 11000010100939 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11000010101009) 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 15 ways as a sum of consecutive naturals, for example, 311897813 + ... + 311933078.

It is an arithmetic number, because the mean of its divisors is an integer number (860886630960).

Almost surely, 2^{11000010101003} is an apocalyptic number.

11000010101003 is a deficient number, since it is larger than the sum of its proper divisors (2774175994357).

11000010101003 is a wasteful number, since it uses less digits than its factorization.

11000010101003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623831138.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 11000010101003 its reverse (30010101000011), we get a palindrome (41010111101014).

The spelling of 11000010101003 in words is "eleven trillion, ten million, one hundred one thousand, three".