131377313 has 2 divisors, whose sum is σ = 131377314. Its totient is φ = 131377312.

The previous prime is 131377291. The next prime is 131377319. The reversal of 131377313 is 313773131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120275089 + 11102224 = 10967^2 + 3332^2 .

It is a cyclic number.

It is not a de Polignac number, because 131377313 - 2²⁴ = 114600097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131377319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65688656 + 65688657.

It is an arithmetic number, because the mean of its divisors is an integer number (65688657).

Almost surely, 2^131377313 is an apocalyptic number.

It is an amenable number.

131377313 is a deficient number, since it is larger than the sum of its proper divisors (1).

131377313 is an equidigital number, since it uses as much as digits as its factorization.

131377313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3969, while the sum is 29.

The square root of 131377313 is about 11461.9942854636. The cubic root of 131377313 is about 508.3624433627.

The spelling of 131377313 in words is "one hundred thirty-one million, three hundred seventy-seven thousand, three hundred thirteen".