131330313 has 12 divisors (see below), whose sum is σ = 190086000. Its totient is φ = 87375096.

The previous prime is 131330281. The next prime is 131330323. The reversal of 131330313 is 313033131.

It is not a de Polignac number, because 131330313 - 2⁵ = 131330281 is a prime.

It is a super-2 number, since 2×131330313² = 34495302225355938, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131330323) 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, 10131 + ... + 19112.

It is an arithmetic number, because the mean of its divisors is an integer number (15840500).

Almost surely, 2^131330313 is an apocalyptic number.

It is an amenable number.

131330313 is a deficient number, since it is larger than the sum of its proper divisors (58755687).

131330313 is a wasteful number, since it uses less digits than its factorization.

131330313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29748 (or 29745 counting only the distinct ones).

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

The square root of 131330313 is about 11459.9438480300. The cubic root of 131330313 is about 508.3018142122.

Adding to 131330313 its reverse (313033131), we get a palindrome (444363444).

It can be divided in two parts, 1313303 and 13, that added together give a square (1313316 = 1146²).

The spelling of 131330313 in words is "one hundred thirty-one million, three hundred thirty thousand, three hundred thirteen".