1001111011011 has 64 divisors (see below), whose sum is σ = 1546803302400. Its totient is φ = 639210528000.

The previous prime is 1001111011007. The next prime is 1001111011013. The reversal of 1001111011011 is 1101101111001.

It is not a de Polignac number, because 1001111011011 - 2² = 1001111011007 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 = 1001111010984 and 1001111011002.

It is not an unprimeable number, because it can be changed into a prime (1001111011013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101107161 + ... + 101117061.

It is an arithmetic number, because the mean of its divisors is an integer number (24168801600).

Almost surely, 2^{1001111011011} is an apocalyptic number.

1001111011011 is a deficient number, since it is larger than the sum of its proper divisors (545692291389).

1001111011011 is a wasteful number, since it uses less digits than its factorization.

1001111011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11177 (or 11171 counting only the distinct ones).

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

Adding to 1001111011011 its reverse (1101101111001), we get a palindrome (2102212122012).

The spelling of 1001111011011 in words is "one trillion, one billion, one hundred eleven million, eleven thousand, eleven".