1330133310313 has 2 divisors, whose sum is σ = 1330133310314. Its totient is φ = 1330133310312.

The previous prime is 1330133310307. The next prime is 1330133310377. The reversal of 1330133310313 is 3130133310331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 834641206569 + 495492103744 = 913587^2 + 703912^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330133310313 - 2⁵ = 1330133310281 is a prime.

It is not a weakly prime, because it can be changed into another prime (1330133310613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 665066655156 + 665066655157.

It is an arithmetic number, because the mean of its divisors is an integer number (665066655157).

Almost surely, 2^{1330133310313} is an apocalyptic number.

It is an amenable number.

1330133310313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1330133310313 is an equidigital number, since it uses as much as digits as its factorization.

1330133310313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 1330133310313 its reverse (3130133310331), we get a palindrome (4460266620644).

The spelling of 1330133310313 in words is "one trillion, three hundred thirty billion, one hundred thirty-three million, three hundred ten thousand, three hundred thirteen".