13313131323013 has 4 divisors (see below), whose sum is σ = 13772204816940. Its totient is φ = 12854057829088.

The previous prime is 13313131323001. The next prime is 13313131323047. The reversal of 13313131323013 is 31032313131331.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 6631412973409 + 6681718349604 = 2575153^2 + 2584902^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13313131323013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13313131323413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229536746920 + ... + 229536746977.

It is an arithmetic number, because the mean of its divisors is an integer number (3443051204235).

Almost surely, 2^{13313131323013} is an apocalyptic number.

It is an amenable number.

13313131323013 is a deficient number, since it is larger than the sum of its proper divisors (459073493927).

13313131323013 is an equidigital number, since it uses as much as digits as its factorization.

13313131323013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459073493926.

The product of its (nonzero) digits is 4374, while the sum is 28.

Adding to 13313131323013 its reverse (31032313131331), we get a palindrome (44345444454344).

The spelling of 13313131323013 in words is "thirteen trillion, three hundred thirteen billion, one hundred thirty-one million, three hundred twenty-three thousand, thirteen".