11011101011001 has 32 divisors (see below), whose sum is σ = 20077221221120. Its totient is φ = 5808053279232.

The previous prime is 11011101010967. The next prime is 11011101011011. The reversal of 11011101011001 is 10011010111011.

It is not a de Polignac number, because 11011101011001 - 2¹⁷ = 11011100879929 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (11011101011011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2240758840 + ... + 2240763753.

It is an arithmetic number, because the mean of its divisors is an integer number (627413163160).

Almost surely, 2^{11011101011001} is an apocalyptic number.

It is an amenable number.

11011101011001 is a deficient number, since it is larger than the sum of its proper divisors (9066120210119).

11011101011001 is a wasteful number, since it uses less digits than its factorization.

11011101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4481522622 (or 4481522616 counting only the distinct ones).

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

Adding to 11011101011001 its reverse (10011010111011), we get a palindrome (21022111122012).

The spelling of 11011101011001 in words is "eleven trillion, eleven billion, one hundred one million, eleven thousand, one".