11001101101113 has 16 divisors (see below), whose sum is σ = 15142079494080. Its totient is φ = 7100113810944.

The previous prime is 11001101101093. The next prime is 11001101101117. The reversal of 11001101101113 is 31110110110011.

It is not a de Polignac number, because 11001101101113 - 2¹⁶ = 11001101035577 is a prime.

It is a super-2 number, since 2×11001101101113² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11001101101117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377329908 + ... + 377359061.

It is an arithmetic number, because the mean of its divisors is an integer number (946379968380).

Almost surely, 2^{11001101101113} is an apocalyptic number.

It is an amenable number.

11001101101113 is a deficient number, since it is larger than the sum of its proper divisors (4140978392967).

11001101101113 is a wasteful number, since it uses less digits than its factorization.

11001101101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754689128.

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 11001101101113 its reverse (31110110110011), we get a palindrome (42111211211124).

The spelling of 11001101101113 in words is "eleven trillion, one billion, one hundred one million, one hundred one thousand, one hundred thirteen".