1011000111011 has 8 divisors (see below), whose sum is σ = 1102940025024. Its totient is φ = 919065332520.

The previous prime is 1011000110999. The next prime is 1011000111019. The reversal of 1011000111011 is 1101110001101.

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 1011000111011 - 2¹⁸ = 1010999848867 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011000111011.

It is not an unprimeable number, because it can be changed into a prime (1011000111019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 866345 + ... + 1665098.

It is an arithmetic number, because the mean of its divisors is an integer number (137867503128).

Almost surely, 2^{1011000111011} is an apocalyptic number.

1011000111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011000111011 is a deficient number, since it is larger than the sum of its proper divisors (91939914013).

1011000111011 is a wasteful number, since it uses less digits than its factorization.

1011000111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567761.

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

Adding to 1011000111011 its reverse (1101110001101), we get a palindrome (2112110112112).

The spelling of 1011000111011 in words is "one trillion, eleven billion, one hundred eleven thousand, eleven".