11000101111011 has 12 divisors (see below), whose sum is σ = 15889355302392. Its totient is φ = 7333252880256.

The previous prime is 11000101110991. The next prime is 11000101111039. The reversal of 11000101111011 is 11011110100011.

It is not a de Polignac number, because 11000101111011 - 2¹³ = 11000101102819 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 = 11000101110984 and 11000101111002.

It is not an unprimeable number, because it can be changed into a prime (11000101111061) 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 11 ways as a sum of consecutive naturals, for example, 11849581 + ... + 12744126.

It is an arithmetic number, because the mean of its divisors is an integer number (1324112941866).

Almost surely, 2^{11000101111011} is an apocalyptic number.

11000101111011 is a deficient number, since it is larger than the sum of its proper divisors (4889254191381).

11000101111011 is a wasteful number, since it uses less digits than its factorization.

11000101111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24643410 (or 24643407 counting only the distinct ones).

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

Adding to 11000101111011 its reverse (11011110100011), we get a palindrome (22011211211022).

The spelling of 11000101111011 in words is "eleven trillion, one hundred one million, one hundred eleven thousand, eleven".