2002133321 has 2 divisors, whose sum is σ = 2002133322. Its totient is φ = 2002133320.

The previous prime is 2002133297. The next prime is 2002133323. The reversal of 2002133321 is 1233312002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1133062921 + 869070400 = 33661^2 + 29480^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002133321 is a prime.

Together with 2002133323, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2002133321.

It is not a weakly prime, because it can be changed into another prime (2002133323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001066660 + 1001066661.

It is an arithmetic number, because the mean of its divisors is an integer number (1001066661).

Almost surely, 2^2002133321 is an apocalyptic number.

It is an amenable number.

2002133321 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002133321 is an equidigital number, since it uses as much as digits as its factorization.

2002133321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2002133321 is about 44745.2044469572. The cubic root of 2002133321 is about 1260.3688600511.

Adding to 2002133321 its reverse (1233312002), we get a palindrome (3235445323).

The spelling of 2002133321 in words is "two billion, two million, one hundred thirty-three thousand, three hundred twenty-one".