11313311230013 has 16 divisors (see below), whose sum is σ = 12324351740400. Its totient is φ = 10322457108480.

The previous prime is 11313311229959. The next prime is 11313311230033. The reversal of 11313311230013 is 31003211331311.

It can be written as a sum of positive squares in 8 ways, for example, as 377736847609 + 10935574382404 = 614603^2 + 3306898^2 .

It is a cyclic number.

It is not a de Polignac number, because 11313311230013 - 2¹⁴ = 11313311213629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11313311230033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2123753 + ... + 5209313.

It is an arithmetic number, because the mean of its divisors is an integer number (770271983775).

Almost surely, 2^{11313311230013} is an apocalyptic number.

11313311230013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11313311230013 is a deficient number, since it is larger than the sum of its proper divisors (1011040510387).

11313311230013 is a wasteful number, since it uses less digits than its factorization.

11313311230013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088832.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11313311230013 its reverse (31003211331311), we get a palindrome (42316522561324).

The spelling of 11313311230013 in words is "eleven trillion, three hundred thirteen billion, three hundred eleven million, two hundred thirty thousand, thirteen".