131303313 has 12 divisors (see below), whose sum is σ = 193239540. Its totient is φ = 85883616.

The previous prime is 131303311. The next prime is 131303323. The reversal of 131303313 is 313303131.

It can be written as a sum of positive squares in 2 ways, for example, as 102272769 + 29030544 = 10113^2 + 5388^2 .

It is not a de Polignac number, because 131303313 - 2¹ = 131303311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131303311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137158 + ... + 138111.

It is an arithmetic number, because the mean of its divisors is an integer number (16103295).

Almost surely, 2^131303313 is an apocalyptic number.

It is an amenable number.

131303313 is a deficient number, since it is larger than the sum of its proper divisors (61936227).

131303313 is a wasteful number, since it uses less digits than its factorization.

131303313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275328 (or 275325 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 131303313 is about 11458.7657712338. The cubic root of 131303313 is about 508.2669781583.

Adding to 131303313 its reverse (313303131), we get a palindrome (444606444).

The spelling of 131303313 in words is "one hundred thirty-one million, three hundred three thousand, three hundred thirteen".