1313322113321 has 2 divisors, whose sum is σ = 1313322113322. Its totient is φ = 1313322113320.

The previous prime is 1313322113293. The next prime is 1313322113333. The reversal of 1313322113321 is 1233112233131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1176333298921 + 136988814400 = 1084589^2 + 370120^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313322113321 - 2¹⁴ = 1313322096937 is a prime.

It is not a weakly prime, because it can be changed into another prime (1313322113221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656661056660 + 656661056661.

It is an arithmetic number, because the mean of its divisors is an integer number (656661056661).

Almost surely, 2^{1313322113321} is an apocalyptic number.

It is an amenable number.

1313322113321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313322113321 is an equidigital number, since it uses as much as digits as its factorization.

1313322113321 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1944, while the sum is 26.

Adding to 1313322113321 its reverse (1233112233131), we get a palindrome (2546434346452).

The spelling of 1313322113321 in words is "one trillion, three hundred thirteen billion, three hundred twenty-two million, one hundred thirteen thousand, three hundred twenty-one".