1011010111011 has 24 divisors (see below), whose sum is σ = 1467248944304. Its totient is φ = 670828677120.

The previous prime is 1011010111003. The next prime is 1011010111057. The reversal of 1011010111011 is 1101110101101.

It is not a de Polignac number, because 1011010111011 - 2³ = 1011010111003 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

1011010111011 is a modest number, since divided by 10111011 gives 10110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 1011010110984 and 1011010111002.

It is not an unprimeable number, because it can be changed into a prime (1011010111061) 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 23 ways as a sum of consecutive naturals, for example, 1439955 + ... + 2023731.

Almost surely, 2^{1011010111011} is an apocalyptic number.

1011010111011 is a deficient number, since it is larger than the sum of its proper divisors (456238833293).

1011010111011 is a wasteful number, since it uses less digits than its factorization.

1011010111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584691 (or 584688 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 1011010111011 its reverse (1101110101101), we get a palindrome (2112120212112).

The spelling of 1011010111011 in words is "one trillion, eleven billion, ten million, one hundred eleven thousand, eleven".