1101111011 has 32 divisors (see below), whose sum is σ = 1490797056. Its totient is φ = 791920800.

The previous prime is 1101110963. The next prime is 1101111013.

1101111011 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1101111011 - 2¹⁸ = 1100848867 is a prime.

1101111011 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 1101111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101111013) 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, 116576 + ... + 125666.

It is an arithmetic number, because the mean of its divisors is an integer number (46587408).

Almost surely, 2^1101111011 is an apocalyptic number.

1101111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1101111011 is a deficient number, since it is larger than the sum of its proper divisors (389686045).

1101111011 is an equidigital number, since it uses as much as digits as its factorization.

1101111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9122 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

The square root of 1101111011 is about 33182.9927975160. The cubic root of 1101111011 is about 1032.6275362629.

It can be divided in two parts, 11011 and 11011, that added together give a palindrome (22022).

The spelling of 1101111011 in words is "one billion, one hundred one million, one hundred eleven thousand, eleven".