1310003200313 has 2 divisors, whose sum is σ = 1310003200314. Its totient is φ = 1310003200312.

The previous prime is 1310003200291. The next prime is 1310003200327. The reversal of 1310003200313 is 3130023000131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1301041359424 + 8961840889 = 1140632^2 + 94667^2 .

It is an emirp because it is prime and its reverse (3130023000131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1310003200313 - 2³² = 1305708233017 is a prime.

It is a super-2 number, since 2×1310003200313² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1310003200291 and 1310003200300.

It is not a weakly prime, because it can be changed into another prime (1310003200813) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655001600156 + 655001600157.

It is an arithmetic number, because the mean of its divisors is an integer number (655001600157).

Almost surely, 2^{1310003200313} is an apocalyptic number.

It is an amenable number.

1310003200313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310003200313 is an equidigital number, since it uses as much as digits as its factorization.

1310003200313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1310003200313 its reverse (3130023000131), we get a palindrome (4440026200444).

The spelling of 1310003200313 in words is "one trillion, three hundred ten billion, three million, two hundred thousand, three hundred thirteen".