1312534323013 has 2 divisors, whose sum is σ = 1312534323014. Its totient is φ = 1312534323012.

The previous prime is 1312534323011. The next prime is 1312534323049. The reversal of 1312534323013 is 3103234352131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 990548439169 + 321985883844 = 995263^2 + 567438^2 .

It is a cyclic number.

It is not a de Polignac number, because 1312534323013 - 2¹ = 1312534323011 is a prime.

Together with 1312534323011, 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 (1312534323011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656267161506 + 656267161507.

It is an arithmetic number, because the mean of its divisors is an integer number (656267161507).

Almost surely, 2^{1312534323013} is an apocalyptic number.

It is an amenable number.

1312534323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312534323013 is an equidigital number, since it uses as much as digits as its factorization.

1312534323013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19440, while the sum is 31.

Adding to 1312534323013 its reverse (3103234352131), we get a palindrome (4415768675144).

The spelling of 1312534323013 in words is "one trillion, three hundred twelve billion, five hundred thirty-four million, three hundred twenty-three thousand, thirteen".