110001001000011 has 32 divisors (see below), whose sum is σ = 160075757829120. Its totient is φ = 66636321580800.

The previous prime is 110001000999943. The next prime is 110001001000031. The reversal of 110001001000011 is 110000100100011.

It is not a de Polignac number, because 110001001000011 - 2³⁰ = 109999927258187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110001001000031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 629104545 + ... + 629279373.

It is an arithmetic number, because the mean of its divisors is an integer number (5002367432160).

Almost surely, 2^{110001001000011} is an apocalyptic number.

110001001000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110001001000011 is a deficient number, since it is larger than the sum of its proper divisors (50074756829109).

110001001000011 is a wasteful number, since it uses less digits than its factorization.

110001001000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183587.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 110001001000011 its reverse (110000100100011), we get a palindrome (220001101100022).

The spelling of 110001001000011 in words is "one hundred ten trillion, one billion, one million, eleven", and thus it is an aban number.