33003032312213 has 2 divisors, whose sum is σ = 33003032312214. Its totient is φ = 33003032312212.

The previous prime is 33003032312197. The next prime is 33003032312281. The reversal of 33003032312213 is 31221323030033.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32796318415249 + 206713896964 = 5726807^2 + 454658^2 .

It is a cyclic number.

It is not a de Polignac number, because 33003032312213 - 2⁴ = 33003032312197 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33003032312513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16501516156106 + 16501516156107.

It is an arithmetic number, because the mean of its divisors is an integer number (16501516156107).

Almost surely, 2^{33003032312213} is an apocalyptic number.

It is an amenable number.

33003032312213 is a deficient number, since it is larger than the sum of its proper divisors (1).

33003032312213 is an equidigital number, since it uses as much as digits as its factorization.

33003032312213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 26.

Adding to 33003032312213 its reverse (31221323030033), we get a palindrome (64224355342246).

The spelling of 33003032312213 in words is "thirty-three trillion, three billion, thirty-two million, three hundred twelve thousand, two hundred thirteen".