305646213133 has 2 divisors, whose sum is σ = 305646213134. Its totient is φ = 305646213132.

The previous prime is 305646213121. The next prime is 305646213149. The reversal of 305646213133 is 331312646503.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 284049559369 + 21596653764 = 532963^2 + 146958^2 .

It is an emirp because it is prime and its reverse (331312646503) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 305646213133 - 2¹⁷ = 305646082061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 305646213092 and 305646213101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (305646213163) 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, 152823106566 + 152823106567.

It is an arithmetic number, because the mean of its divisors is an integer number (152823106567).

Almost surely, 2^305646213133 is an apocalyptic number.

It is an amenable number.

305646213133 is a deficient number, since it is larger than the sum of its proper divisors (1).

305646213133 is an equidigital number, since it uses as much as digits as its factorization.

305646213133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 37.

Adding to 305646213133 its reverse (331312646503), we get a palindrome (636958859636).

The spelling of 305646213133 in words is "three hundred five billion, six hundred forty-six million, two hundred thirteen thousand, one hundred thirty-three".