1313210122321 has 2 divisors, whose sum is σ = 1313210122322. Its totient is φ = 1313210122320.

The previous prime is 1313210122307. The next prime is 1313210122391. The reversal of 1313210122321 is 1232210123131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1311107441296 + 2102681025 = 1145036^2 + 45855^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313210122321 - 2⁷ = 1313210122193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313210122292 and 1313210122301.

It is not a weakly prime, because it can be changed into another prime (1313210122391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656605061160 + 656605061161.

It is an arithmetic number, because the mean of its divisors is an integer number (656605061161).

Almost surely, 2^{1313210122321} is an apocalyptic number.

It is an amenable number.

1313210122321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313210122321 is an equidigital number, since it uses as much as digits as its factorization.

1313210122321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 1313210122321 its reverse (1232210123131), we get a palindrome (2545420245452).

The spelling of 1313210122321 in words is "one trillion, three hundred thirteen billion, two hundred ten million, one hundred twenty-two thousand, three hundred twenty-one".