11111011111011 has 64 divisors (see below), whose sum is σ = 17951365103616. Its totient is φ = 5967556416000.

The previous prime is 11111011110937. The next prime is 11111011111043. The reversal of 11111011111011 is 11011111011111.

It is not a de Polignac number, because 11111011111011 - 2¹⁴ = 11111011094627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11111011111061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1241310586 + ... + 1241319536.

It is an arithmetic number, because the mean of its divisors is an integer number (280490079744).

Almost surely, 2^{11111011111011} is an apocalyptic number.

11111011111011 is a deficient number, since it is larger than the sum of its proper divisors (6840353992605).

11111011111011 is a wasteful number, since it uses less digits than its factorization.

11111011111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13312.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 11111011111011 its reverse (11011111011111), we get a palindrome (22122122122122).

It can be divided in two parts, 111 and 11011111011, that multiplied together give a palindrome (1222233322221).

The spelling of 11111011111011 in words is "eleven trillion, one hundred eleven billion, eleven million, one hundred eleven thousand, eleven".