33021213121313 has 2 divisors, whose sum is σ = 33021213121314. Its totient is φ = 33021213121312.

The previous prime is 33021213121297. The next prime is 33021213121363. The reversal of 33021213121313 is 31312131212033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 32831158103104 + 190055018209 = 5729848^2 + 435953^2 .

It is a cyclic number.

It is not a de Polignac number, because 33021213121313 - 2⁴ = 33021213121297 is a prime.

It is not a weakly prime, because it can be changed into another prime (33021213121363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16510606560656 + 16510606560657.

It is an arithmetic number, because the mean of its divisors is an integer number (16510606560657).

Almost surely, 2^{33021213121313} is an apocalyptic number.

It is an amenable number.

33021213121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33021213121313 is an equidigital number, since it uses as much as digits as its factorization.

33021213121313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 33021213121313 its reverse (31312131212033), we get a palindrome (64333344333346).

The spelling of 33021213121313 in words is "thirty-three trillion, twenty-one billion, two hundred thirteen million, one hundred twenty-one thousand, three hundred thirteen".