13300123222313 has 2 divisors, whose sum is σ = 13300123222314. Its totient is φ = 13300123222312.

The previous prime is 13300123222297. The next prime is 13300123222343. The reversal of 13300123222313 is 31322232100331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12880540568809 + 419582653504 = 3588947^2 + 647752^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300123222313 - 2⁴ = 13300123222297 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13300123222343) 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, 6650061611156 + 6650061611157.

It is an arithmetic number, because the mean of its divisors is an integer number (6650061611157).

Almost surely, 2^{13300123222313} is an apocalyptic number.

It is an amenable number.

13300123222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300123222313 is an equidigital number, since it uses as much as digits as its factorization.

13300123222313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 13300123222313 its reverse (31322232100331), we get a palindrome (44622355322644).

The spelling of 13300123222313 in words is "thirteen trillion, three hundred billion, one hundred twenty-three million, two hundred twenty-two thousand, three hundred thirteen".