320313131009 has 2 divisors, whose sum is σ = 320313131010. Its totient is φ = 320313131008.

The previous prime is 320313130997. The next prime is 320313131023. The reversal of 320313131009 is 900131313023.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 230301130609 + 90012000400 = 479897^2 + 300020^2 .

It is a cyclic number.

It is not a de Polignac number, because 320313131009 - 2¹⁶ = 320313065473 is a prime.

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 (320313131029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160156565504 + 160156565505.

It is an arithmetic number, because the mean of its divisors is an integer number (160156565505).

Almost surely, 2^320313131009 is an apocalyptic number.

It is an amenable number.

320313131009 is a deficient number, since it is larger than the sum of its proper divisors (1).

320313131009 is an equidigital number, since it uses as much as digits as its factorization.

320313131009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 320313131009 in words is "three hundred twenty billion, three hundred thirteen million, one hundred thirty-one thousand, nine".