10333134131329 has 2 divisors, whose sum is σ = 10333134131330. Its totient is φ = 10333134131328.

The previous prime is 10333134131293. The next prime is 10333134131339. The reversal of 10333134131329 is 92313143133301.

Together with previous prime (10333134131293) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6645877761600 + 3687256369729 = 2577960^2 + 1920223^2 .

It is a cyclic number.

It is not a de Polignac number, because 10333134131329 - 2⁹ = 10333134130817 is a prime.

It is not a weakly prime, because it can be changed into another prime (10333134131339) 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, 5166567065664 + 5166567065665.

It is an arithmetic number, because the mean of its divisors is an integer number (5166567065665).

Almost surely, 2^{10333134131329} is an apocalyptic number.

It is an amenable number.

10333134131329 is a deficient number, since it is larger than the sum of its proper divisors (1).

10333134131329 is an equidigital number, since it uses as much as digits as its factorization.

10333134131329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488, while the sum is 37.

The spelling of 10333134131329 in words is "ten trillion, three hundred thirty-three billion, one hundred thirty-four million, one hundred thirty-one thousand, three hundred twenty-nine".