11000000000011 has 16 divisors (see below), whose sum is σ = 12253174805088. Its totient is φ = 9791020800000.

The previous prime is 10999999999943. The next prime is 11000000000039.

11000000000011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11000000000011 - 2¹³ = 10999999991819 is a prime.

11000000000011 is a strobogrammatic number because it is the same when read upside-down.

It is a Duffinian number.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 11000000000011.

It is not an unprimeable number, because it can be changed into a prime (11000000000611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49884990 + ... + 50105011.

It is an arithmetic number, because the mean of its divisors is an integer number (765823425318).

Almost surely, 2^{11000000000011} is an apocalyptic number.

11000000000011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000000000011 is a deficient number, since it is larger than the sum of its proper divisors (1253174805077).

11000000000011 is a wasteful number, since it uses less digits than its factorization.

11000000000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99990222.

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

It can be divided in two parts, 110000000000 and 11, that multiplied together give a square (1210000000000 = 1100000²).

The spelling of 11000000000011 in words is "eleven trillion, eleven", and thus it is an aban number and an uban number.