11101200211113 has 8 divisors (see below), whose sum is σ = 14801727766176. Its totient is φ = 7400736398400.

The previous prime is 11101200211111. The next prime is 11101200211139. The reversal of 11101200211113 is 31111200210111.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 11101200211113 - 2¹ = 11101200211111 is a prime.

It is a super-2 number, since 2×11101200211113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101200211092 and 11101200211101.

It is not an unprimeable number, because it can be changed into a prime (11101200211111) 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, 15527728 + ... + 16226913.

It is an arithmetic number, because the mean of its divisors is an integer number (1850215970772).

Almost surely, 2^{11101200211113} is an apocalyptic number.

It is an amenable number.

11101200211113 is a deficient number, since it is larger than the sum of its proper divisors (3700527555063).

11101200211113 is a wasteful number, since it uses less digits than its factorization.

11101200211113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31871175.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 11101200211113 its reverse (31111200210111), we get a palindrome (42212400421224).

The spelling of 11101200211113 in words is "eleven trillion, one hundred one billion, two hundred million, two hundred eleven thousand, one hundred thirteen".