1011011011011 has 48 divisors (see below), whose sum is σ = 1500208359936. Its totient is φ = 655737985728.

The previous prime is 1011011010953. The next prime is 1011011011019. The reversal of 1011011011011 is 1101101101101.

It is not a de Polignac number, because 1011011011011 - 2¹¹ = 1011011008963 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011011010984 and 1011011011002.

It is not an unprimeable number, because it can be changed into a prime (1011011011019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211373526 + ... + 211378308.

It is an arithmetic number, because the mean of its divisors is an integer number (31254340832).

Almost surely, 2^{1011011011011} is an apocalyptic number.

1011011011011 is a deficient number, since it is larger than the sum of its proper divisors (489197348925).

1011011011011 is a wasteful number, since it uses less digits than its factorization.

1011011011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6872 (or 6869 counting only the distinct ones).

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

Adding to 1011011011011 its reverse (1101101101101), we get a palindrome (2112112112112).

The spelling of 1011011011011 in words is "one trillion, eleven billion, eleven million, eleven thousand, eleven".