11000101101011 has 8 divisors (see below), whose sum is σ = 12076544117424. Its totient is φ = 9936397055520.

The previous prime is 11000101100971. The next prime is 11000101101047. The reversal of 11000101101011 is 11010110100011.

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 11000101101011 - 2²⁶ = 11000033992147 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 11000101101011.

It is not an unprimeable number, because it can be changed into a prime (11000101104011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3184740920 + ... + 3184744373.

It is an arithmetic number, because the mean of its divisors is an integer number (1509568014678).

Almost surely, 2^{11000101101011} is an apocalyptic number.

11000101101011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11000101101011 is a deficient number, since it is larger than the sum of its proper divisors (1076443016413).

11000101101011 is a wasteful number, since it uses less digits than its factorization.

11000101101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6369485461.

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

Adding to 11000101101011 its reverse (11010110100011), we get a palindrome (22010211201022).

The spelling of 11000101101011 in words is "eleven trillion, one hundred one million, one hundred one thousand, eleven".