131305313 has 4 divisors (see below), whose sum is σ = 131753748. Its totient is φ = 130856880.

The previous prime is 131305309. The next prime is 131305337. The reversal of 131305313 is 313503131.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 313503131 = 233 ⋅1345507.

It can be written as a sum of positive squares in 2 ways, for example, as 101143249 + 30162064 = 10057^2 + 5492^2 .

It is a cyclic number.

It is not a de Polignac number, because 131305313 - 2² = 131305309 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (131305303) 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, 223778 + ... + 224363.

It is an arithmetic number, because the mean of its divisors is an integer number (32938437).

Almost surely, 2^131305313 is an apocalyptic number.

It is an amenable number.

131305313 is a deficient number, since it is larger than the sum of its proper divisors (448435).

131305313 is an equidigital number, since it uses as much as digits as its factorization.

131305313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448434.

The product of its (nonzero) digits is 405, while the sum is 20.

The square root of 131305313 is about 11458.8530403352. The cubic root of 131305313 is about 508.2695587705.

Adding to 131305313 its reverse (313503131), we get a palindrome (444808444).

The spelling of 131305313 in words is "one hundred thirty-one million, three hundred five thousand, three hundred thirteen".