1313030012321 has 2 divisors, whose sum is σ = 1313030012322. Its totient is φ = 1313030012320.

The previous prime is 1313030012243. The next prime is 1313030012323. The reversal of 1313030012321 is 1232100303131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1310878444096 + 2151568225 = 1144936^2 + 46385^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313030012321 - 2³⁸ = 1038152105377 is a prime.

Together with 1313030012323, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313030012293 and 1313030012302.

It is not a weakly prime, because it can be changed into another prime (1313030012323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656515006160 + 656515006161.

It is an arithmetic number, because the mean of its divisors is an integer number (656515006161).

Almost surely, 2^{1313030012321} is an apocalyptic number.

It is an amenable number.

1313030012321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313030012321 is an equidigital number, since it uses as much as digits as its factorization.

1313030012321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1313030012321 its reverse (1232100303131), we get a palindrome (2545130315452).

The spelling of 1313030012321 in words is "one trillion, three hundred thirteen billion, thirty million, twelve thousand, three hundred twenty-one".