1306413307 has 2 divisors, whose sum is σ = 1306413308. Its totient is φ = 1306413306.

The previous prime is 1306413281. The next prime is 1306413319. The reversal of 1306413307 is 7033146031.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1306413307 - 2²⁷ = 1172195579 is a prime.

It is a super-3 number, since 3×1306413307³ (a number of 28 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1306413347) 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, 653206653 + 653206654.

It is an arithmetic number, because the mean of its divisors is an integer number (653206654).

Almost surely, 2^1306413307 is an apocalyptic number.

1306413307 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306413307 is an equidigital number, since it uses as much as digits as its factorization.

1306413307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 1306413307 is about 36144.3399026736. The cubic root of 1306413307 is about 1093.1846673997.

Adding to 1306413307 its reverse (7033146031), we get a palindrome (8339559338).

The spelling of 1306413307 in words is "one billion, three hundred six million, four hundred thirteen thousand, three hundred seven".