321131332321001 has 2 divisors, whose sum is σ = 321131332321002. Its totient is φ = 321131332321000.

The previous prime is 321131332320947. The next prime is 321131332321049. The reversal of 321131332321001 is 100123233131123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 190781730765376 + 130349601555625 = 13812376^2 + 11417075^2 .

It is a cyclic number.

It is not a de Polignac number, because 321131332321001 - 2³⁴ = 321114152451817 is a prime.

It is a super-2 number, since 2×321131332321001² (a number of 30 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 (321131332321801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 160565666160500 + 160565666160501.

It is an arithmetic number, because the mean of its divisors is an integer number (160565666160501).

Almost surely, 2^{321131332321001} is an apocalyptic number.

It is an amenable number.

321131332321001 is a deficient number, since it is larger than the sum of its proper divisors (1).

321131332321001 is an equidigital number, since it uses as much as digits as its factorization.

321131332321001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 321131332321001 its reverse (100123233131123), we get a palindrome (421254565452124).

The spelling of 321131332321001 in words is "three hundred twenty-one trillion, one hundred thirty-one billion, three hundred thirty-two million, three hundred twenty-one thousand, one".