321131434121 has 2 divisors, whose sum is σ = 321131434122. Its totient is φ = 321131434120.

The previous prime is 321131434111. The next prime is 321131434153. The reversal of 321131434121 is 121434131123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 218683428496 + 102448005625 = 467636^2 + 320075^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-321131434121 is a prime.

It is a super-2 number, since 2×321131434121² (a number of 24 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 (321131434111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160565717060 + 160565717061.

It is an arithmetic number, because the mean of its divisors is an integer number (160565717061).

Almost surely, 2^321131434121 is an apocalyptic number.

It is an amenable number.

321131434121 is a deficient number, since it is larger than the sum of its proper divisors (1).

321131434121 is an equidigital number, since it uses as much as digits as its factorization.

321131434121 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1728, while the sum is 26.

Adding to 321131434121 its reverse (121434131123), we get a palindrome (442565565244).

The spelling of 321131434121 in words is "three hundred twenty-one billion, one hundred thirty-one million, four hundred thirty-four thousand, one hundred twenty-one".