12735300203333 has 2 divisors, whose sum is σ = 12735300203334. Its totient is φ = 12735300203332.

The previous prime is 12735300203303. The next prime is 12735300203357. The reversal of 12735300203333 is 33330200353721.

12735300203333 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., 7075935163969 + 5659365039364 = 2660063^2 + 2378942^2 .

It is a cyclic number.

It is not a de Polignac number, because 12735300203333 - 2¹⁶ = 12735300137797 is a prime.

It is a super-2 number, since 2×12735300203333² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12735300203293 and 12735300203302.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12735300203303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6367650101666 + 6367650101667.

It is an arithmetic number, because the mean of its divisors is an integer number (6367650101667).

Almost surely, 2^{12735300203333} is an apocalyptic number.

It is an amenable number.

12735300203333 is a deficient number, since it is larger than the sum of its proper divisors (1).

12735300203333 is an equidigital number, since it uses as much as digits as its factorization.

12735300203333 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 102060, while the sum is 35.

The spelling of 12735300203333 in words is "twelve trillion, seven hundred thirty-five billion, three hundred million, two hundred three thousand, three hundred thirty-three".