201331412304509 has 2 divisors, whose sum is σ = 201331412304510. Its totient is φ = 201331412304508.

The previous prime is 201331412304313. The next prime is 201331412304527. The reversal of 201331412304509 is 905403214133102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190811262768025 + 10520149536484 = 13813445^2 + 3243478^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201331412304509 is a prime.

It is a super-2 number, since 2×201331412304509² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (201331412304559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100665706152254 + 100665706152255.

It is an arithmetic number, because the mean of its divisors is an integer number (100665706152255).

Almost surely, 2^{201331412304509} is an apocalyptic number.

It is an amenable number.

201331412304509 is a deficient number, since it is larger than the sum of its proper divisors (1).

201331412304509 is an equidigital number, since it uses as much as digits as its factorization.

201331412304509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 38.

The spelling of 201331412304509 in words is "two hundred one trillion, three hundred thirty-one billion, four hundred twelve million, three hundred four thousand, five hundred nine".