33204021313 has 2 divisors, whose sum is σ = 33204021314. Its totient is φ = 33204021312.

The previous prime is 33204021287. The next prime is 33204021329. The reversal of 33204021313 is 31312040233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23133497409 + 10070523904 = 152097^2 + 100352^2 .

It is an emirp because it is prime and its reverse (31312040233) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 33204021313 - 2¹³ = 33204013121 is a prime.

It is a super-2 number, since 2×33204021313² (a number of 22 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33204021343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16602010656 + 16602010657.

It is an arithmetic number, because the mean of its divisors is an integer number (16602010657).

Almost surely, 2^33204021313 is an apocalyptic number.

It is an amenable number.

33204021313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33204021313 is an equidigital number, since it uses as much as digits as its factorization.

33204021313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 33204021313 its reverse (31312040233), we get a palindrome (64516061546).

It can be divided in two parts, 332040 and 21313, that added together give a palindrome (353353).

The spelling of 33204021313 in words is "thirty-three billion, two hundred four million, twenty-one thousand, three hundred thirteen".