13331131313 has 4 divisors (see below), whose sum is σ = 13453435380. Its totient is φ = 13208827248.

The previous prime is 13331131273. The next prime is 13331131343. The reversal of 13331131313 is 31313113331.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31313113331 = 17 ⋅1841947843.

It can be written as a sum of positive squares in 2 ways, for example, as 3647193664 + 9683937649 = 60392^2 + 98407^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331131313 - 2⁸ = 13331131057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13331131343) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61151870 + ... + 61152087.

It is an arithmetic number, because the mean of its divisors is an integer number (3363358845).

Almost surely, 2^13331131313 is an apocalyptic number.

It is an amenable number.

13331131313 is a deficient number, since it is larger than the sum of its proper divisors (122304067).

13331131313 is a wasteful number, since it uses less digits than its factorization.

13331131313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122304066.

The product of its digits is 729, while the sum is 23.

Adding to 13331131313 its reverse (31313113331), we get a palindrome (44644244644).

The spelling of 13331131313 in words is "thirteen billion, three hundred thirty-one million, one hundred thirty-one thousand, three hundred thirteen".