11013221311113 has 8 divisors (see below), whose sum is σ = 16782051521728. Its totient is φ = 6293269320624.

The previous prime is 11013221311109. The next prime is 11013221311129. The reversal of 11013221311113 is 31111312231011.

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

It is not a de Polignac number, because 11013221311113 - 2² = 11013221311109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 524439110053 = 11013221311113 / (1 + 1 + 0 + 1 + 3 + 2 + 2 + 1 + 3 + 1 + 1 + 1 + 1 + 3).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11013221311113.

It is not an unprimeable number, because it can be changed into a prime (11013221311153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262219555006 + ... + 262219555047.

It is an arithmetic number, because the mean of its divisors is an integer number (2097756440216).

Almost surely, 2^{11013221311113} is an apocalyptic number.

It is an amenable number.

11013221311113 is a deficient number, since it is larger than the sum of its proper divisors (5768830210615).

11013221311113 is an equidigital number, since it uses as much as digits as its factorization.

11013221311113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524439110063.

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 11013221311113 its reverse (31111312231011), we get a palindrome (42124533542124).

The spelling of 11013221311113 in words is "eleven trillion, thirteen billion, two hundred twenty-one million, three hundred eleven thousand, one hundred thirteen".