1011110111011 has 16 divisors (see below), whose sum is σ = 1357574416128. Its totient is φ = 727272007200.

The previous prime is 1011110110993. The next prime is 1011110111017. The reversal of 1011110111011 is 1101110111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1011110111011 - 2¹⁹ = 1011109586723 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1011110111017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505049005 + ... + 505051006.

It is an arithmetic number, because the mean of its divisors is an integer number (84848401008).

Almost surely, 2^{1011110111011} is an apocalyptic number.

1011110111011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1011110111011 is a deficient number, since it is larger than the sum of its proper divisors (346464305117).

1011110111011 is a wasteful number, since it uses less digits than its factorization.

1011110111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010100042.

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

Adding to 1011110111011 its reverse (1101110111101), we get a palindrome (2112220222112).

It can be divided in two parts, 10111101 and 11011, that multiplied together give a palindrome (111333333111).

The spelling of 1011110111011 in words is "one trillion, eleven billion, one hundred ten million, one hundred eleven thousand, eleven".