33220222313 has 2 divisors, whose sum is σ = 33220222314. Its totient is φ = 33220222312.

The previous prime is 33220222309. The next prime is 33220222319. The reversal of 33220222313 is 31322202233.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30007939984 + 3212282329 = 173228^2 + 56677^2 .

It is a cyclic number.

It is not a de Polignac number, because 33220222313 - 2² = 33220222309 is a prime.

It is a super-2 number, since 2×33220222313² (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (33220222319) 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, 16610111156 + 16610111157.

It is an arithmetic number, because the mean of its divisors is an integer number (16610111157).

Almost surely, 2^33220222313 is an apocalyptic number.

It is an amenable number.

33220222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

33220222313 is an equidigital number, since it uses as much as digits as its factorization.

33220222313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 33220222313 its reverse (31322202233), we get a palindrome (64542424546).

The spelling of 33220222313 in words is "thirty-three billion, two hundred twenty million, two hundred twenty-two thousand, three hundred thirteen".