11101113 has 12 divisors (see below), whose sum is σ = 16588260. Its totient is φ = 7145376.

The previous prime is 11101109. The next prime is 11101121. The reversal of 11101113 is 31110111.

It can be written as a sum of positive squares in 2 ways, for example, as 4613904 + 6487209 = 2148^2 + 2547^2 .

It is not a de Polignac number, because 11101113 - 2² = 11101109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11101095 and 11101104.

It is not an unprimeable number, because it can be changed into a prime (11101133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21006 + ... + 21527.

It is an arithmetic number, because the mean of its divisors is an integer number (1382355).

Almost surely, 2^11101113 is an apocalyptic number.

It is an amenable number.

11101113 is a deficient number, since it is larger than the sum of its proper divisors (5487147).

11101113 is a wasteful number, since it uses less digits than its factorization.

11101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42568 (or 42565 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

The square root of 11101113 is about 3331.8332791423. The cubic root of 11101113 is about 223.0773659584.

Adding to 11101113 its reverse (31110111), we get a palindrome (42211224).

It can be divided in two parts, 1110111 and 3, that multiplied together give a palindrome (3330333).

The spelling of 11101113 in words is "eleven million, one hundred one thousand, one hundred thirteen".