1313321133013 has 2 divisors, whose sum is σ = 1313321133014. Its totient is φ = 1313321133012.

The previous prime is 1313321133011. The next prime is 1313321133031. The reversal of 1313321133013 is 3103311233131.

Together with next prime (1313321133031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1168124316804 + 145196816209 = 1080798^2 + 381047^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313321133013 - 2¹ = 1313321133011 is a prime.

Together with 1313321133011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1313321133011) 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, 656660566506 + 656660566507.

It is an arithmetic number, because the mean of its divisors is an integer number (656660566507).

Almost surely, 2^{1313321133013} is an apocalyptic number.

It is an amenable number.

1313321133013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313321133013 is an equidigital number, since it uses as much as digits as its factorization.

1313321133013 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 1313321133013 its reverse (3103311233131), we get a palindrome (4416632366144).

The spelling of 1313321133013 in words is "one trillion, three hundred thirteen billion, three hundred twenty-one million, one hundred thirty-three thousand, thirteen".