10333434304013 has 2 divisors, whose sum is σ = 10333434304014. Its totient is φ = 10333434304012.

The previous prime is 10333434304003. The next prime is 10333434304031. The reversal of 10333434304013 is 31040343433301.

10333434304013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Together with next prime (10333434304031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8442528793609 + 1890905510404 = 2905603^2 + 1375102^2 .

It is a cyclic number.

It is not a de Polignac number, because 10333434304013 - 2⁶ = 10333434303949 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10333434304003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5166717152006 + 5166717152007.

It is an arithmetic number, because the mean of its divisors is an integer number (5166717152007).

Almost surely, 2^{10333434304013} is an apocalyptic number.

It is an amenable number.

10333434304013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10333434304013 is an equidigital number, since it uses as much as digits as its factorization.

10333434304013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 32.

Adding to 10333434304013 its reverse (31040343433301), we get a palindrome (41373777737314).

The spelling of 10333434304013 in words is "ten trillion, three hundred thirty-three billion, four hundred thirty-four million, three hundred four thousand, thirteen".