131331377 has 2 divisors, whose sum is σ = 131331378. Its totient is φ = 131331376.

The previous prime is 131331367. The next prime is 131331379. The reversal of 131331377 is 773133131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78783376 + 52548001 = 8876^2 + 7249^2 .

It is a cyclic number.

It is not a de Polignac number, because 131331377 - 2¹⁸ = 131069233 is a prime.

It is a super-2 number, since 2×131331377² = 34495861169432258, which contains 22 as substring.

Together with 131331379, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131331379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65665688 + 65665689.

It is an arithmetic number, because the mean of its divisors is an integer number (65665689).

Almost surely, 2^131331377 is an apocalyptic number.

It is an amenable number.

131331377 is a deficient number, since it is larger than the sum of its proper divisors (1).

131331377 is an equidigital number, since it uses as much as digits as its factorization.

131331377 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 131331377 is about 11459.9902705020. The cubic root of 131331377 is about 508.3031869130.

The spelling of 131331377 in words is "one hundred thirty-one million, three hundred thirty-one thousand, three hundred seventy-seven".