1330113313 has 2 divisors, whose sum is σ = 1330113314. Its totient is φ = 1330113312.

The previous prime is 1330113307. The next prime is 1330113319. The reversal of 1330113313 is 3133110331.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (1330113307) and next prime (1330113319).

It can be written as a sum of positive squares in only one way, i.e., 756415009 + 573698304 = 27503^2 + 23952^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330113313 - 2⁹ = 1330112801 is a prime.

It is not a weakly prime, because it can be changed into another prime (1330113319) 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, 665056656 + 665056657.

It is an arithmetic number, because the mean of its divisors is an integer number (665056657).

Almost surely, 2^1330113313 is an apocalyptic number.

It is an amenable number.

1330113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1330113313 is an equidigital number, since it uses as much as digits as its factorization.

1330113313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

The square root of 1330113313 is about 36470.7185698335. The cubic root of 1330113313 is about 1099.7556793468.

Adding to 1330113313 its reverse (3133110331), we get a palindrome (4463223644).

The spelling of 1330113313 in words is "one billion, three hundred thirty million, one hundred thirteen thousand, three hundred thirteen".