11000101011000 has 128 divisors (see below), whose sum is σ = 34406768036160. Its totient is φ = 2925971136000.

The previous prime is 11000101010999. The next prime is 11000101011083. The reversal of 11000101011000 is 11010100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11000101011000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3427011 + ... + 5809010.

Almost surely, 2^{11000101011000} is an apocalyptic number.

11000101011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000101011000 is an abundant number, since it is smaller than the sum of its proper divisors (23406667025160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11000101011000 is a wasteful number, since it uses less digits than its factorization.

11000101011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9236442 (or 9236428 counting only the distinct ones).

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

Adding to 11000101011000 its reverse (11010100011), we get a palindrome (11011111111011).

The spelling of 11000101011000 in words is "eleven trillion, one hundred one million, eleven thousand".