1312131132313 has 2 divisors, whose sum is σ = 1312131132314. Its totient is φ = 1312131132312.

The previous prime is 1312131132311. The next prime is 1312131132331. The reversal of 1312131132313 is 3132311312131.

Together with next prime (1312131132331) 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., 659779303824 + 652351828489 = 812268^2 + 807683^2 .

It is an emirp because it is prime and its reverse (3132311312131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1312131132313 - 2¹ = 1312131132311 is a prime.

Together with 1312131132311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1312131132311) 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, 656065566156 + 656065566157.

It is an arithmetic number, because the mean of its divisors is an integer number (656065566157).

Almost surely, 2^{1312131132313} is an apocalyptic number.

It is an amenable number.

1312131132313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312131132313 is an equidigital number, since it uses as much as digits as its factorization.

1312131132313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 25.

Adding to 1312131132313 its reverse (3132311312131), we get a palindrome (4444442444444).

The spelling of 1312131132313 in words is "one trillion, three hundred twelve billion, one hundred thirty-one million, one hundred thirty-two thousand, three hundred thirteen".