11000101001011 has 8 divisors (see below), whose sum is σ = 11015103285504. Its totient is φ = 10985107446720.

The previous prime is 11000101000981. The next prime is 11000101001033. The reversal of 11000101001011 is 11010010100011.

It is a happy number.

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 11000101001011 - 2¹³ = 11000100992819 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11000101000985 and 11000101001003.

It is not an unprimeable number, because it can be changed into a prime (11000101001411) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 341166 + ... + 4702828.

It is an arithmetic number, because the mean of its divisors is an integer number (1376887910688).

Almost surely, 2^{11000101001011} is an apocalyptic number.

11000101001011 is a deficient number, since it is larger than the sum of its proper divisors (15002284493).

11000101001011 is a wasteful number, since it uses less digits than its factorization.

11000101001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365101.

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

Adding to 11000101001011 its reverse (11010010100011), we get a palindrome (22010111101022).

The spelling of 11000101001011 in words is "eleven trillion, one hundred one million, one thousand, eleven".