11102000100113 has 8 divisors (see below), whose sum is σ = 11959702847400. Its totient is φ = 10244826315648.

The previous prime is 11102000100109. The next prime is 11102000100119. The reversal of 11102000100113 is 31100100020111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1044907150849 + 10057092949264 = 1022207^2 + 3171292^2 .

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 11102000100113 - 2² = 11102000100109 is a prime.

It is a super-2 number, since 2×11102000100113² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11102000100094 and 11102000100103.

It is not an unprimeable number, because it can be changed into a prime (11102000100119) 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, 132197108 + ... + 132281061.

It is an arithmetic number, because the mean of its divisors is an integer number (1494962855925).

Almost surely, 2^{11102000100113} is an apocalyptic number.

11102000100113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11102000100113 is a deficient number, since it is larger than the sum of its proper divisors (857702747287).

11102000100113 is a wasteful number, since it uses less digits than its factorization.

11102000100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264481411.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 11102000100113 its reverse (31100100020111), we get a palindrome (42202100120224).

The spelling of 11102000100113 in words is "eleven trillion, one hundred two billion, one hundred thousand, one hundred thirteen".