103331010310013 has 2 divisors, whose sum is σ = 103331010310014. Its totient is φ = 103331010310012.

The previous prime is 103331010310009. The next prime is 103331010310049. The reversal of 103331010310013 is 310013010133301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91128158855449 + 12202851454564 = 9546107^2 + 3493258^2 .

It is a cyclic number.

It is not a de Polignac number, because 103331010310013 - 2² = 103331010310009 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103331010310513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51665505155006 + 51665505155007.

It is an arithmetic number, because the mean of its divisors is an integer number (51665505155007).

Almost surely, 2^{103331010310013} is an apocalyptic number.

It is an amenable number.

103331010310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

103331010310013 is an equidigital number, since it uses as much as digits as its factorization.

103331010310013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 103331010310013 its reverse (310013010133301), we get a palindrome (413344020443314).

The spelling of 103331010310013 in words is "one hundred three trillion, three hundred thirty-one billion, ten million, three hundred ten thousand, thirteen".