11000010111111 has 32 divisors (see below), whose sum is σ = 18975758699520. Its totient is φ = 6167121566112.

The previous prime is 11000010111107. The next prime is 11000010111121. The reversal of 11000010111111 is 11111101000011.

It is not a de Polignac number, because 11000010111111 - 2² = 11000010111107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000010111093 and 11000010111102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000010111121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549057075 + ... + 549077108.

It is an arithmetic number, because the mean of its divisors is an integer number (592992459360).

Almost surely, 2^{11000010111111} is an apocalyptic number.

11000010111111 is a deficient number, since it is larger than the sum of its proper divisors (7975748588409).

11000010111111 is a wasteful number, since it uses less digits than its factorization.

11000010111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098134252 (or 1098134246 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 11000010111111 its reverse (11111101000011), we get a palindrome (22111111111122).

The spelling of 11000010111111 in words is "eleven trillion, ten million, one hundred eleven thousand, one hundred eleven".