11101013200113 has 16 divisors (see below), whose sum is σ = 15445403888640. Its totient is φ = 7078670487504.

The previous prime is 11101013200099. The next prime is 11101013200117. The reversal of 11101013200113 is 31100231010111.

It is not a de Polignac number, because 11101013200113 - 2¹² = 11101013196017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11101013200092 and 11101013200101.

It is not an unprimeable number, because it can be changed into a prime (11101013200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595123 + ... + 4749336.

It is an arithmetic number, because the mean of its divisors is an integer number (965337743040).

Almost surely, 2^{11101013200113} is an apocalyptic number.

It is an amenable number.

11101013200113 is a deficient number, since it is larger than the sum of its proper divisors (4344390688527).

11101013200113 is a wasteful number, since it uses less digits than its factorization.

11101013200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5374588.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 11101013200113 its reverse (31100231010111), we get a palindrome (42201244210224).

The spelling of 11101013200113 in words is "eleven trillion, one hundred one billion, thirteen million, two hundred thousand, one hundred thirteen".