110111011011011 has 2 divisors, whose sum is σ = 110111011011012. Its totient is φ = 110111011011010.

The previous prime is 110111011010969. The next prime is 110111011011047. The reversal of 110111011011011 is 110110110111011.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 110111011011011 - 2³⁸ = 109836133104067 is a prime.

It is a super-3 number, since 3×110111011011011³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110111011010983 and 110111011011001.

It is not a weakly prime, because it can be changed into another prime (110111011019011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055505505505 + 55055505505506.

It is an arithmetic number, because the mean of its divisors is an integer number (55055505505506).

Almost surely, 2^{110111011011011} is an apocalyptic number.

110111011011011 is a deficient number, since it is larger than the sum of its proper divisors (1).

110111011011011 is an equidigital number, since it uses as much as digits as its factorization.

110111011011011 is an evil number, because the sum of its binary digits is even.

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

Adding to 110111011011011 its reverse (110110110111011), we get a palindrome (220221121122022).

The spelling of 110111011011011 in words is "one hundred ten trillion, one hundred eleven billion, eleven million, eleven thousand, eleven".