13303312102133 has 2 divisors, whose sum is σ = 13303312102134. Its totient is φ = 13303312102132.

The previous prime is 13303312102109. The next prime is 13303312102147. The reversal of 13303312102133 is 33120121330331.

13303312102133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9996871739089 + 3306440363044 = 3161783^2 + 1818362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13303312102133 is a prime.

It is a super-2 number, since 2×13303312102133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13303312102153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6651656051066 + 6651656051067.

It is an arithmetic number, because the mean of its divisors is an integer number (6651656051067).

Almost surely, 2^{13303312102133} is an apocalyptic number.

It is an amenable number.

13303312102133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13303312102133 is an equidigital number, since it uses as much as digits as its factorization.

13303312102133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 13303312102133 its reverse (33120121330331), we get a palindrome (46423433432464).

The spelling of 13303312102133 in words is "thirteen trillion, three hundred three billion, three hundred twelve million, one hundred two thousand, one hundred thirty-three".