11111011101011 has 8 divisors (see below), whose sum is σ = 11320749775440. Its totient is φ = 10901276017632.

The previous prime is 11111011101007. The next prime is 11111011101053. The reversal of 11111011101011 is 11010111011111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 11111011101011 - 2² = 11111011101007 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11111011100983 and 11111011101001.

It is not an unprimeable number, because it can be changed into a prime (11111011191011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5818601 + ... + 7488533.

It is an arithmetic number, because the mean of its divisors is an integer number (1415093721930).

Almost surely, 2^{11111011101011} is an apocalyptic number.

11111011101011 is a deficient number, since it is larger than the sum of its proper divisors (209738674429).

11111011101011 is a wasteful number, since it uses less digits than its factorization.

11111011101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795525.

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

Adding to 11111011101011 its reverse (11010111011111), we get a palindrome (22121122112122).

The spelling of 11111011101011 in words is "eleven trillion, one hundred eleven billion, eleven million, one hundred one thousand, eleven".