13120120031321 has 2 divisors, whose sum is σ = 13120120031322. Its totient is φ = 13120120031320.

The previous prime is 13120120031173. The next prime is 13120120031323. The reversal of 13120120031321 is 12313002102131.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12077293057600 + 1042826973721 = 3475240^2 + 1021189^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13120120031321 is a prime.

Together with 13120120031323, 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 = 13120120031293 and 13120120031302.

It is not a weakly prime, because it can be changed into another prime (13120120031323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560060015660 + 6560060015661.

It is an arithmetic number, because the mean of its divisors is an integer number (6560060015661).

Almost surely, 2^{13120120031321} is an apocalyptic number.

It is an amenable number.

13120120031321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13120120031321 is an equidigital number, since it uses as much as digits as its factorization.

13120120031321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 13120120031321 its reverse (12313002102131), we get a palindrome (25433122133452).

The spelling of 13120120031321 in words is "thirteen trillion, one hundred twenty billion, one hundred twenty million, thirty-one thousand, three hundred twenty-one".