13310113210133 has 2 divisors, whose sum is σ = 13310113210134. Its totient is φ = 13310113210132.

The previous prime is 13310113210091. The next prime is 13310113210153. The reversal of 13310113210133 is 33101231101331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13247401531204 + 62711678929 = 3639698^2 + 250423^2 .

It is a cyclic number.

It is not a de Polignac number, because 13310113210133 - 2¹² = 13310113206037 is a prime.

It is a super-2 number, since 2×13310113210133² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13310113210099 and 13310113210108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13310113210153) 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, 6655056605066 + 6655056605067.

It is an arithmetic number, because the mean of its divisors is an integer number (6655056605067).

Almost surely, 2^{13310113210133} is an apocalyptic number.

It is an amenable number.

13310113210133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13310113210133 is an equidigital number, since it uses as much as digits as its factorization.

13310113210133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13310113210133 its reverse (33101231101331), we get a palindrome (46411344311464).

The spelling of 13310113210133 in words is "thirteen trillion, three hundred ten billion, one hundred thirteen million, two hundred ten thousand, one hundred thirty-three".