131300313 has 16 divisors (see below), whose sum is σ = 181804800. Its totient is φ = 84188160.

The previous prime is 131300297. The next prime is 131300329. The reversal of 131300313 is 313003131.

It is an interprime number because it is at equal distance from previous prime (131300297) and next prime (131300329).

It is not a de Polignac number, because 131300313 - 2⁴ = 131300297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131300292 and 131300301.

It is not an unprimeable number, because it can be changed into a prime (131300363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20793 + ... + 26361.

It is an arithmetic number, because the mean of its divisors is an integer number (11362800).

Almost surely, 2^131300313 is an apocalyptic number.

It is an amenable number.

131300313 is a deficient number, since it is larger than the sum of its proper divisors (50504487).

131300313 is a wasteful number, since it uses less digits than its factorization.

131300313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872.

The product of its (nonzero) digits is 81, while the sum is 15.

The square root of 131300313 is about 11458.6348663355. The cubic root of 131300313 is about 508.2631071908.

Adding to 131300313 its reverse (313003131), we get a palindrome (444303444).

The spelling of 131300313 in words is "one hundred thirty-one million, three hundred thousand, three hundred thirteen".