100131529 has 2 divisors, whose sum is σ = 100131530. Its totient is φ = 100131528.

The previous prime is 100131523. The next prime is 100131533. The reversal of 100131529 is 925131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89340304 + 10791225 = 9452^2 + 3285^2 .

It is a cyclic number.

It is not a de Polignac number, because 100131529 - 2⁷ = 100131401 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100131523) 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, 50065764 + 50065765.

It is an arithmetic number, because the mean of its divisors is an integer number (50065765).

Almost surely, 2^100131529 is an apocalyptic number.

It is an amenable number.

100131529 is a deficient number, since it is larger than the sum of its proper divisors (1).

100131529 is an equidigital number, since it uses as much as digits as its factorization.

100131529 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 100131529 is about 10006.5742889362. The cubic root of 100131529 is about 464.3622953846.

The spelling of 100131529 in words is "one hundred million, one hundred thirty-one thousand, five hundred twenty-nine".