11000001101011 has 32 divisors (see below), whose sum is σ = 12483817920000. Its totient is φ = 9608500516608.

The previous prime is 11000001100927. The next prime is 11000001101017. The reversal of 11000001101011 is 11010110000011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11000001101011 - 2⁷ = 11000001100883 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000001100985 and 11000001101003.

It is not an unprimeable number, because it can be changed into a prime (11000001101017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1264508940 + ... + 1264517638.

It is an arithmetic number, because the mean of its divisors is an integer number (390119310000).

Almost surely, 2^{11000001101011} is an apocalyptic number.

11000001101011 is a deficient number, since it is larger than the sum of its proper divisors (1483816818989).

11000001101011 is a wasteful number, since it uses less digits than its factorization.

11000001101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11000001101011 its reverse (11010110000011), we get a palindrome (22010111101022).

The spelling of 11000001101011 in words is "eleven trillion, one million, one hundred one thousand, eleven".