1303312313 has 2 divisors, whose sum is σ = 1303312314. Its totient is φ = 1303312312.

The previous prime is 1303312291. The next prime is 1303312337. The reversal of 1303312313 is 3132133031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1257979024 + 45333289 = 35468^2 + 6733^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303312313 - 2¹⁸ = 1303050169 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303312613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 651656156 + 651656157.

It is an arithmetic number, because the mean of its divisors is an integer number (651656157).

Almost surely, 2^1303312313 is an apocalyptic number.

It is an amenable number.

1303312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303312313 is an equidigital number, since it uses as much as digits as its factorization.

1303312313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 1303312313 is about 36101.4170497503. The cubic root of 1303312313 is about 1092.3190289289.

Adding to 1303312313 its reverse (3132133031), we get a palindrome (4435445344).

The spelling of 1303312313 in words is "one billion, three hundred three million, three hundred twelve thousand, three hundred thirteen".