13300114003133 has 2 divisors, whose sum is σ = 13300114003134. Its totient is φ = 13300114003132.

The previous prime is 13300114003123. The next prime is 13300114003151. The reversal of 13300114003133 is 33130041100331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12839307907204 + 460806095929 = 3583198^2 + 678827^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300114003133 - 2²⁶ = 13300046894269 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13300114003099 and 13300114003108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13300114003123) 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, 6650057001566 + 6650057001567.

It is an arithmetic number, because the mean of its divisors is an integer number (6650057001567).

Almost surely, 2^{13300114003133} is an apocalyptic number.

It is an amenable number.

13300114003133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300114003133 is an equidigital number, since it uses as much as digits as its factorization.

13300114003133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13300114003133 its reverse (33130041100331), we get a palindrome (46430155103464).

The spelling of 13300114003133 in words is "thirteen trillion, three hundred billion, one hundred fourteen million, three thousand, one hundred thirty-three".