1011011011001 has 8 divisors (see below), whose sum is σ = 1011953268480. Its totient is φ = 1010069135568.

The previous prime is 1011011010953. The next prime is 1011011011019. The reversal of 1011011011001 is 1001101101101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1011011011001 - 2³⁰ = 1009937269177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1011011011001.

It is not an unprimeable number, because it can be changed into a prime (1011011011301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5342930 + ... + 5528916.

It is an arithmetic number, because the mean of its divisors is an integer number (126494158560).

Almost surely, 2^{1011011011001} is an apocalyptic number.

It is an amenable number.

1011011011001 is a deficient number, since it is larger than the sum of its proper divisors (942257479).

1011011011001 is a wasteful number, since it uses less digits than its factorization.

1011011011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191023.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 1011011011001 its reverse (1001101101101), we get a palindrome (2012112112102).

It can be divided in two parts, 101101101100 and 1, that added together give a palindrome (101101101101).

The spelling of 1011011011001 in words is "one trillion, eleven billion, eleven million, eleven thousand, one".