1302313113313 has 2 divisors, whose sum is σ = 1302313113314. Its totient is φ = 1302313113312.

The previous prime is 1302313113259. The next prime is 1302313113317. The reversal of 1302313113313 is 3133113132031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1223729325729 + 78583787584 = 1106223^2 + 280328^2 .

It is an emirp because it is prime and its reverse (3133113132031) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1302313113313 is a prime.

It is not a weakly prime, because it can be changed into another prime (1302313113317) 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, 651156556656 + 651156556657.

It is an arithmetic number, because the mean of its divisors is an integer number (651156556657).

Almost surely, 2^{1302313113313} is an apocalyptic number.

It is an amenable number.

1302313113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1302313113313 is an equidigital number, since it uses as much as digits as its factorization.

1302313113313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 1302313113313 its reverse (3133113132031), we get a palindrome (4435426245344).

The spelling of 1302313113313 in words is "one trillion, three hundred two billion, three hundred thirteen million, one hundred thirteen thousand, three hundred thirteen".