11000111100011 has 16 divisors (see below), whose sum is σ = 12100639975296. Its totient is φ = 9998990001000.

The previous prime is 11000111099983. The next prime is 11000111100047.

11000111100011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 11000111100011 - 2⁶ = 11000111099947 is a prime.

11000111100011 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 not an unprimeable number, because it can be changed into a prime (11000111100211) 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, 11645576 + ... + 12554666.

It is an arithmetic number, because the mean of its divisors is an integer number (756289998456).

Almost surely, 2^{11000111100011} is an apocalyptic number.

11000111100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000111100011 is a deficient number, since it is larger than the sum of its proper divisors (1100528875285).

11000111100011 is an frugal number, since it uses more digits than its factorization.

11000111100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918215 (or 918193 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

It can be divided in two parts, 1100011 and 1100011, that added together give a palindrome (2200022).

The spelling of 11000111100011 in words is "eleven trillion, one hundred eleven million, one hundred thousand, eleven".