1111011011011 has 64 divisors (see below), whose sum is σ = 1307742105600. Its totient is φ = 932708597760.

The previous prime is 1111011010999. The next prime is 1111011011023. The reversal of 1111011011011 is 1101101101111.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1111011010999) and next prime (1111011011023).

It is a cyclic number.

It is not a de Polignac number, because 1111011011011 - 2⁷ = 1111011010883 is a prime.

It is a Duffinian number.

1111011011011 is a modest number, since divided by 11011011 gives 1111 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1111011012011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1411703560 + ... + 1411704346.

It is an arithmetic number, because the mean of its divisors is an integer number (20433470400).

Almost surely, 2^{1111011011011} is an apocalyptic number.

1111011011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1111011011011 is a deficient number, since it is larger than the sum of its proper divisors (196731094589).

1111011011011 is a wasteful number, since it uses less digits than its factorization.

1111011011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 1111011011011 its reverse (1101101101111), we get a palindrome (2212112112122).

It can be divided in two parts, 11 and 11011011011, that multiplied together give a palindrome (121121121121).

The spelling of 1111011011011 in words is "one trillion, one hundred eleven billion, eleven million, eleven thousand, eleven".