32002133032321 has 2 divisors, whose sum is σ = 32002133032322. Its totient is φ = 32002133032320.

The previous prime is 32002133032307. The next prime is 32002133032327. The reversal of 32002133032321 is 12323033120023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26545989198400 + 5456143833921 = 5152280^2 + 2335839^2 .

It is a cyclic number.

It is not a de Polignac number, because 32002133032321 - 2²⁵ = 32002099477889 is a prime.

It is not a weakly prime, because it can be changed into another prime (32002133032327) 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, 16001066516160 + 16001066516161.

It is an arithmetic number, because the mean of its divisors is an integer number (16001066516161).

Almost surely, 2^{32002133032321} is an apocalyptic number.

It is an amenable number.

32002133032321 is a deficient number, since it is larger than the sum of its proper divisors (1).

32002133032321 is an equidigital number, since it uses as much as digits as its factorization.

32002133032321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 32002133032321 its reverse (12323033120023), we get a palindrome (44325166152344).

The spelling of 32002133032321 in words is "thirty-two trillion, two billion, one hundred thirty-three million, thirty-two thousand, three hundred twenty-one".