1313133313321 has 2 divisors, whose sum is σ = 1313133313322. Its totient is φ = 1313133313320.

The previous prime is 1313133313307. The next prime is 1313133313367. The reversal of 1313133313321 is 1233133313131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 796511625625 + 516621687696 = 892475^2 + 718764^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313133313321 - 2¹³ = 1313133305129 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1313133313321.

It is not a weakly prime, because it can be changed into another prime (1313133313391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656566656660 + 656566656661.

It is an arithmetic number, because the mean of its divisors is an integer number (656566656661).

Almost surely, 2^{1313133313321} is an apocalyptic number.

It is an amenable number.

1313133313321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313133313321 is an equidigital number, since it uses as much as digits as its factorization.

1313133313321 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4374, while the sum is 28.

Adding to 1313133313321 its reverse (1233133313131), we get a palindrome (2546266626452).

The spelling of 1313133313321 in words is "one trillion, three hundred thirteen billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred twenty-one".