131382313 has 2 divisors, whose sum is σ = 131382314. Its totient is φ = 131382312.

The previous prime is 131382311. The next prime is 131382319. The reversal of 131382313 is 313283131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116575209 + 14807104 = 10797^2 + 3848^2 .

It is a cyclic number.

It is not a de Polignac number, because 131382313 - 2¹ = 131382311 is a prime.

It is a super-2 number, since 2×131382313² = 34522624338459938, which contains 22 as substring.

Together with 131382311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (131382311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65691156 + 65691157.

It is an arithmetic number, because the mean of its divisors is an integer number (65691157).

Almost surely, 2^131382313 is an apocalyptic number.

It is an amenable number.

131382313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131382313 is an equidigital number, since it uses as much as digits as its factorization.

131382313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1296, while the sum is 25.

The square root of 131382313 is about 11462.2123955195. The cubic root of 131382313 is about 508.3688924213.

It can be divided in two parts, 13138 and 2313, that added together give a palindrome (15451).

The spelling of 131382313 in words is "one hundred thirty-one million, three hundred eighty-two thousand, three hundred thirteen".