131536001 has 2 divisors, whose sum is σ = 131536002. Its totient is φ = 131536000.

The previous prime is 131535991. The next prime is 131536019. The reversal of 131536001 is 100635131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 73547776 + 57988225 = 8576^2 + 7615^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-131536001 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (131536051) 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, 65768000 + 65768001.

It is an arithmetic number, because the mean of its divisors is an integer number (65768001).

Almost surely, 2^131536001 is an apocalyptic number.

It is an amenable number.

131536001 is a deficient number, since it is larger than the sum of its proper divisors (1).

131536001 is an equidigital number, since it uses as much as digits as its factorization.

131536001 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 20.

The square root of 131536001 is about 11468.9145519530. The cubic root of 131536001 is about 508.5670412471.

It can be divided in two parts, 1315 and 36001, that multiplied together give a triangular number (47341315 = T₉₇₃₀).

The spelling of 131536001 in words is "one hundred thirty-one million, five hundred thirty-six thousand, one".