1100000000011 has 32 divisors (see below), whose sum is σ = 1262974763520. Its totient is φ = 956179113120.

The previous prime is 1100000000003. The next prime is 1100000000027.

1100000000011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1100000000011 - 2³ = 1100000000003 is a prime.

1100000000011 is a strobogrammatic number because it is the same when read upside-down.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (1100000000041) 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 31 ways as a sum of consecutive naturals, for example, 125294620 + ... + 125303398.

It is an arithmetic number, because the mean of its divisors is an integer number (39467961360).

Almost surely, 2^{1100000000011} is an apocalyptic number.

1100000000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1100000000011 is a deficient number, since it is larger than the sum of its proper divisors (162974763509).

1100000000011 is an equidigital number, since it uses as much as digits as its factorization.

1100000000011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12928 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 11000000000 and 11, that added together give a palindrome (11000000011).

The spelling of 1100000000011 in words is "one trillion, one hundred billion, eleven", and thus it is an aban number.