1305331133 has 2 divisors, whose sum is σ = 1305331134. Its totient is φ = 1305331132.

The previous prime is 1305331099. The next prime is 1305331189. The reversal of 1305331133 is 3311335031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1208466169 + 96864964 = 34763^2 + 9842^2 .

It is an emirp because it is prime and its reverse (3311335031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1305331133 - 2⁸ = 1305330877 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1305331099 and 1305331108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1305331193) 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, 652665566 + 652665567.

It is an arithmetic number, because the mean of its divisors is an integer number (652665567).

Almost surely, 2^1305331133 is an apocalyptic number.

It is an amenable number.

1305331133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1305331133 is an equidigital number, since it uses as much as digits as its factorization.

1305331133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1215, while the sum is 23.

The square root of 1305331133 is about 36129.3666288243. The cubic root of 1305331133 is about 1092.8827356856.

Adding to 1305331133 its reverse (3311335031), we get a palindrome (4616666164).

The spelling of 1305331133 in words is "one billion, three hundred five million, three hundred thirty-one thousand, one hundred thirty-three".