131007329 has 2 divisors, whose sum is σ = 131007330. Its totient is φ = 131007328.

The previous prime is 131007323. The next prime is 131007347. The reversal of 131007329 is 923700131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89340304 + 41667025 = 9452^2 + 6455^2 .

It is a cyclic number.

It is not a de Polignac number, because 131007329 - 2⁴ = 131007313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131007298 and 131007307.

It is not a weakly prime, because it can be changed into another prime (131007323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65503664 + 65503665.

It is an arithmetic number, because the mean of its divisors is an integer number (65503665).

Almost surely, 2^131007329 is an apocalyptic number.

It is an amenable number.

131007329 is a deficient number, since it is larger than the sum of its proper divisors (1).

131007329 is an equidigital number, since it uses as much as digits as its factorization.

131007329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 26.

The square root of 131007329 is about 11445.8433066332. The cubic root of 131007329 is about 507.8847789296.

The spelling of 131007329 in words is "one hundred thirty-one million, seven thousand, three hundred twenty-nine".