1001000011011 has 64 divisors (see below), whose sum is σ = 1853793285120. Its totient is φ = 463448240640.

The previous prime is 1001000010977. The next prime is 1001000011019. The reversal of 1001000011011 is 1101100001001.

It is not a de Polignac number, because 1001000011011 - 2⁷ = 1001000010883 is a prime.

1001000011011 is a modest number, since divided by 11011 gives 10010 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1001000011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5660040 + ... + 5834213.

It is an arithmetic number, because the mean of its divisors is an integer number (28965520080).

Almost surely, 2^{1001000011011} is an apocalyptic number.

1001000011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001000011011 is a deficient number, since it is larger than the sum of its proper divisors (852793274109).

1001000011011 is a wasteful number, since it uses less digits than its factorization.

1001000011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11494316.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1001000011011 its reverse (1101100001001), we get a palindrome (2102100012012).

The spelling of 1001000011011 in words is "one trillion, one billion, eleven thousand, eleven".