1306188313 has 2 divisors, whose sum is σ = 1306188314. Its totient is φ = 1306188312.

The previous prime is 1306188287. The next prime is 1306188337. The reversal of 1306188313 is 3138816031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1289312649 + 16875664 = 35907^2 + 4108^2 .

It is a cyclic number.

It is not a de Polignac number, because 1306188313 - 2²⁵ = 1272633881 is a prime.

It is a super-2 number, since 2×1306188313² = 3412255818035571938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1306185313) 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, 653094156 + 653094157.

It is an arithmetic number, because the mean of its divisors is an integer number (653094157).

Almost surely, 2^1306188313 is an apocalyptic number.

It is an amenable number.

1306188313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1306188313 is an equidigital number, since it uses as much as digits as its factorization.

1306188313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 1306188313 is about 36141.2273311242. The cubic root of 1306188313 is about 1093.1219067325.

The spelling of 1306188313 in words is "one billion, three hundred six million, one hundred eighty-eight thousand, three hundred thirteen".