13300311122953 has 2 divisors, whose sum is σ = 13300311122954. Its totient is φ = 13300311122952.

The previous prime is 13300311122951. The next prime is 13300311123023. The reversal of 13300311122953 is 35922111300331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13014142830144 + 286168292809 = 3607512^2 + 534947^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300311122953 - 2¹ = 13300311122951 is a prime.

Together with 13300311122951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13300311122951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650155561476 + 6650155561477.

It is an arithmetic number, because the mean of its divisors is an integer number (6650155561477).

Almost surely, 2^{13300311122953} is an apocalyptic number.

It is an amenable number.

13300311122953 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300311122953 is an equidigital number, since it uses as much as digits as its factorization.

13300311122953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 34.

The spelling of 13300311122953 in words is "thirteen trillion, three hundred billion, three hundred eleven million, one hundred twenty-two thousand, nine hundred fifty-three".