131024004032249 has 2 divisors, whose sum is σ = 131024004032250. Its totient is φ = 131024004032248.

The previous prime is 131024004032213. The next prime is 131024004032279. The reversal of 131024004032249 is 942230400420131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78765057001024 + 52258947031225 = 8874968^2 + 7229035^2 .

It is a cyclic number.

It is not a de Polignac number, because 131024004032249 - 2⁸ = 131024004031993 is a prime.

It is a super-2 number, since 2×131024004032249² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (131024004032279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65512002016124 + 65512002016125.

It is an arithmetic number, because the mean of its divisors is an integer number (65512002016125).

Almost surely, 2^{131024004032249} is an apocalyptic number.

It is an amenable number.

131024004032249 is a deficient number, since it is larger than the sum of its proper divisors (1).

131024004032249 is an equidigital number, since it uses as much as digits as its factorization.

131024004032249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 131024004032249 in words is "one hundred thirty-one trillion, twenty-four billion, four million, thirty-two thousand, two hundred forty-nine".