2003310120013 has 2 divisors, whose sum is σ = 2003310120014. Its totient is φ = 2003310120012.

The previous prime is 2003310120011. The next prime is 2003310120037. The reversal of 2003310120013 is 3100210133002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1842173709289 + 161136410724 = 1357267^2 + 401418^2 .

It is a cyclic number.

It is not a de Polignac number, because 2003310120013 - 2¹ = 2003310120011 is a prime.

Together with 2003310120011, 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 (2003310120011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001655060006 + 1001655060007.

It is an arithmetic number, because the mean of its divisors is an integer number (1001655060007).

Almost surely, 2^{2003310120013} is an apocalyptic number.

It is an amenable number.

2003310120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2003310120013 is an equidigital number, since it uses as much as digits as its factorization.

2003310120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2003310120013 its reverse (3100210133002), we get a palindrome (5103520253015).

The spelling of 2003310120013 in words is "two trillion, three billion, three hundred ten million, one hundred twenty thousand, thirteen".