2002133002213 has 2 divisors, whose sum is σ = 2002133002214. Its totient is φ = 2002133002212.

The previous prime is 2002133002183. The next prime is 2002133002237. The reversal of 2002133002213 is 3122003312002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1315145652804 + 686987349409 = 1146798^2 + 828847^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002133002213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002133002253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001066501106 + 1001066501107.

It is an arithmetic number, because the mean of its divisors is an integer number (1001066501107).

Almost surely, 2^{2002133002213} is an apocalyptic number.

It is an amenable number.

2002133002213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002133002213 is an equidigital number, since it uses as much as digits as its factorization.

2002133002213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 2002133002213 its reverse (3122003312002), we get a palindrome (5124136314215).

The spelling of 2002133002213 in words is "two trillion, two billion, one hundred thirty-three million, two thousand, two hundred thirteen".