321321032001 has 20 divisors (see below), whose sum is σ = 480885392724. Its totient is φ = 213818032800.

The previous prime is 321321031991. The next prime is 321321032027. The reversal of 321321032001 is 100230123123.

321321032001 is a `hidden beast` number, since 3 + 21 + 321 + 0 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 165749951376 + 155571080625 = 407124^2 + 394425^2 .

It is not a de Polignac number, because 321321032001 - 2⁶ = 321321031937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (321321032051) 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 in 19 ways as a sum of consecutive naturals, for example, 3622470 + ... + 3710111.

Almost surely, 2^321321032001 is an apocalyptic number.

It is an amenable number.

321321032001 is a deficient number, since it is larger than the sum of its proper divisors (159564360723).

321321032001 is an equidigital number, since it uses as much as digits as its factorization.

321321032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7333134 (or 7333125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 321321032001 its reverse (100230123123), we get a palindrome (421551155124).

The spelling of 321321032001 in words is "three hundred twenty-one billion, three hundred twenty-one million, thirty-two thousand, one".