11011101111011 has 16 divisors (see below), whose sum is σ = 11552323680000. Its totient is φ = 10480675581600.

The previous prime is 11011101111001. The next prime is 11011101111047. The reversal of 11011101111011 is 11011110111011.

It is a cyclic number.

It is not a de Polignac number, because 11011101111011 - 2¹⁴ = 11011101094627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11011101110983 and 11011101111001.

It is not an unprimeable number, because it can be changed into a prime (11011101111001) 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, 21929240 + ... + 22425738.

It is an arithmetic number, because the mean of its divisors is an integer number (722020230000).

Almost surely, 2^{11011101111011} is an apocalyptic number.

11011101111011 is a deficient number, since it is larger than the sum of its proper divisors (541222568989).

11011101111011 is a wasteful number, since it uses less digits than its factorization.

11011101111011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507370.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 11011101111011 its reverse (11011110111011), we get a palindrome (22022211222022).

Subtracting 11011101111011 from its reverse (11011110111011), we obtain a square (9000000 = 3000²).

It can be divided in two parts, 110111011 and 11011, that multiplied together give a palindrome (1212432342121).

The spelling of 11011101111011 in words is "eleven trillion, eleven billion, one hundred one million, one hundred eleven thousand, eleven".