11000101100011 has 16 divisors (see below), whose sum is σ = 11171220923520. Its totient is φ = 10829187832320.

The previous prime is 11000101099961. The next prime is 11000101100041. The reversal of 11000101100011 is 11000110100011.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 11000101100011 - 2¹⁵ = 11000101067243 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000101099967 and 11000101100003.

It is not an unprimeable number, because it can be changed into a prime (11000101100041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071398500 + ... + 1071408766.

It is an arithmetic number, because the mean of its divisors is an integer number (698201307720).

Almost surely, 2^{11000101100011} is an apocalyptic number.

11000101100011 is a deficient number, since it is larger than the sum of its proper divisors (171119823509).

11000101100011 is a wasteful number, since it uses less digits than its factorization.

11000101100011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18714.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11000101100011 its reverse (11000110100011), we get a palindrome (22000211200022).

Subtracting 11000101100011 from its reverse (11000110100011), we obtain a square (9000000 = 3000²).

The spelling of 11000101100011 in words is "eleven trillion, one hundred one million, one hundred thousand, eleven".