1310311313 has 2 divisors, whose sum is σ = 1310311314. Its totient is φ = 1310311312.

The previous prime is 1310311273. The next prime is 1310311337. The reversal of 1310311313 is 3131130131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1003115584 + 307195729 = 31672^2 + 17527^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310311313 - 2¹⁰ = 1310310289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310311291 and 1310311300.

It is not a weakly prime, because it can be changed into another prime (1310311913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655155656 + 655155657.

It is an arithmetic number, because the mean of its divisors is an integer number (655155657).

Almost surely, 2^1310311313 is an apocalyptic number.

It is an amenable number.

1310311313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310311313 is an equidigital number, since it uses as much as digits as its factorization.

1310311313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

The square root of 1310311313 is about 36198.2225116096. Note that the first 3 decimals coincide. The cubic root of 1310311313 is about 1094.2708497555.

Adding to 1310311313 its reverse (3131130131), we get a palindrome (4441441444).

The spelling of 1310311313 in words is "one billion, three hundred ten million, three hundred eleven thousand, three hundred thirteen".