11101101001011 has 48 divisors (see below), whose sum is σ = 18404580370176. Its totient is φ = 6316194950208.

The previous prime is 11101101000967. The next prime is 11101101001013. The reversal of 11101101001011 is 11010010110111.

It is not a de Polignac number, because 11101101001011 - 2¹³ = 11101100992819 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 11101101000984 and 11101101001002.

It is not an unprimeable number, because it can be changed into a prime (11101101001013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20461696 + ... + 20997218.

It is an arithmetic number, because the mean of its divisors is an integer number (383428757712).

Almost surely, 2^{11101101001011} is an apocalyptic number.

11101101001011 is a deficient number, since it is larger than the sum of its proper divisors (7303479369165).

11101101001011 is a wasteful number, since it uses less digits than its factorization.

11101101001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536952 (or 536949 counting only the distinct ones).

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

Adding to 11101101001011 its reverse (11010010110111), we get a palindrome (22111111111122).

The spelling of 11101101001011 in words is "eleven trillion, one hundred one billion, one hundred one million, one thousand, eleven".