10332320103013 has 2 divisors, whose sum is σ = 10332320103014. Its totient is φ = 10332320103012.

The previous prime is 10332320103011. The next prime is 10332320103023. The reversal of 10332320103013 is 31030102323301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8876574092164 + 1455746010849 = 2979358^2 + 1206543^2 .

It is a cyclic number.

It is not a de Polignac number, because 10332320103013 - 2¹ = 10332320103011 is a prime.

It is a super-2 number, since 2×10332320103013² (a number of 27 digits) contains 22 as substring.

Together with 10332320103011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10332320103011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5166160051506 + 5166160051507.

It is an arithmetic number, because the mean of its divisors is an integer number (5166160051507).

Almost surely, 2^{10332320103013} is an apocalyptic number.

It is an amenable number.

10332320103013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10332320103013 is an equidigital number, since it uses as much as digits as its factorization.

10332320103013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 10332320103013 its reverse (31030102323301), we get a palindrome (41362422426314).

The spelling of 10332320103013 in words is "ten trillion, three hundred thirty-two billion, three hundred twenty million, one hundred three thousand, thirteen".