11101000110113 has 8 divisors (see below), whose sum is σ = 11114397246888. Its totient is φ = 11087604658944.

The previous prime is 11101000110089. The next prime is 11101000110119. The reversal of 11101000110113 is 31101100010111.

It can be written as a sum of positive squares in 4 ways, for example, as 439260096289 + 10661740013824 = 662767^2 + 3265232^2 .

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 11101000110113 - 2¹⁶ = 11101000044577 is a prime.

It is a super-3 number, since 3×11101000110113³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11101000110094 and 11101000110103.

It is not an unprimeable number, because it can be changed into a prime (11101000110119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13016195 + ... + 13842807.

It is an arithmetic number, because the mean of its divisors is an integer number (1389299655861).

Almost surely, 2^{11101000110113} is an apocalyptic number.

It is an amenable number.

11101000110113 is a deficient number, since it is larger than the sum of its proper divisors (13397136775).

11101000110113 is an equidigital number, since it uses as much as digits as its factorization.

11101000110113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842803.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 11101000110113 its reverse (31101100010111), we get a palindrome (42202100120224).

The spelling of 11101000110113 in words is "eleven trillion, one hundred one billion, one hundred ten thousand, one hundred thirteen".