13122414001313 has 2 divisors, whose sum is σ = 13122414001314. Its totient is φ = 13122414001312.

The previous prime is 13122414001297. The next prime is 13122414001369. The reversal of 13122414001313 is 31310041422131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12681055736209 + 441358265104 = 3561047^2 + 664348^2 .

It is an emirp because it is prime and its reverse (31310041422131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13122414001313 - 2⁴ = 13122414001297 is a prime.

It is not a weakly prime, because it can be changed into another prime (13122417001313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561207000656 + 6561207000657.

It is an arithmetic number, because the mean of its divisors is an integer number (6561207000657).

Almost surely, 2^{13122414001313} is an apocalyptic number.

It is an amenable number.

13122414001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122414001313 is an equidigital number, since it uses as much as digits as its factorization.

13122414001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 13122414001313 its reverse (31310041422131), we get a palindrome (44432455423444).

The spelling of 13122414001313 in words is "thirteen trillion, one hundred twenty-two billion, four hundred fourteen million, one thousand, three hundred thirteen".