4131331323409 has 2 divisors, whose sum is σ = 4131331323410. Its totient is φ = 4131331323408.

The previous prime is 4131331323323. The next prime is 4131331323443. The reversal of 4131331323409 is 9043231331314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3201852154384 + 929479169025 = 1789372^2 + 964095^2 .

It is a cyclic number.

It is not a de Polignac number, because 4131331323409 - 2¹⁹ = 4131330799121 is a prime.

It is not a weakly prime, because it can be changed into another prime (4131331303409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2065665661704 + 2065665661705.

It is an arithmetic number, because the mean of its divisors is an integer number (2065665661705).

Almost surely, 2^{4131331323409} is an apocalyptic number.

It is an amenable number.

4131331323409 is a deficient number, since it is larger than the sum of its proper divisors (1).

4131331323409 is an equidigital number, since it uses as much as digits as its factorization.

4131331323409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 37.

The spelling of 4131331323409 in words is "four trillion, one hundred thirty-one billion, three hundred thirty-one million, three hundred twenty-three thousand, four hundred nine".