131301313 has 16 divisors (see below), whose sum is σ = 155800512. Its totient is φ = 109080000.

The previous prime is 131301283. The next prime is 131301323. The reversal of 131301313 is 313103131.

It is not a de Polignac number, because 131301313 - 2⁵ = 131301281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131301323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9898 + ... + 18988.

It is an arithmetic number, because the mean of its divisors is an integer number (9737532).

Almost surely, 2^131301313 is an apocalyptic number.

131301313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131301313 is a deficient number, since it is larger than the sum of its proper divisors (24499199).

131301313 is a wasteful number, since it uses less digits than its factorization.

131301313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9216.

The product of its (nonzero) digits is 81, while the sum is 16.

The square root of 131301313 is about 11458.6785014678. The cubic root of 131301313 is about 508.2643975199.

Adding to 131301313 its reverse (313103131), we get a palindrome (444404444).

The spelling of 131301313 in words is "one hundred thirty-one million, three hundred one thousand, three hundred thirteen".