321132132033001 has 2 divisors, whose sum is σ = 321132132033002. Its totient is φ = 321132132033000.

The previous prime is 321132132032977. The next prime is 321132132033007. The reversal of 321132132033001 is 100330231231123.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 320392100250000 + 740031783001 = 17899500^2 + 860251^2 .

It is an emirp because it is prime and its reverse (100330231231123) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 321132132033001 - 2⁵ = 321132132032969 is a prime.

It is not a weakly prime, because it can be changed into another prime (321132132033007) 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, 160566066016500 + 160566066016501.

It is an arithmetic number, because the mean of its divisors is an integer number (160566066016501).

Almost surely, 2^{321132132033001} is an apocalyptic number.

It is an amenable number.

321132132033001 is a deficient number, since it is larger than the sum of its proper divisors (1).

321132132033001 is an equidigital number, since it uses as much as digits as its factorization.

321132132033001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 321132132033001 its reverse (100330231231123), we get a palindrome (421462363264124).

The spelling of 321132132033001 in words is "three hundred twenty-one trillion, one hundred thirty-two billion, one hundred thirty-two million, thirty-three thousand, one".