2102003310013 has 2 divisors, whose sum is σ = 2102003310014. Its totient is φ = 2102003310012.

The previous prime is 2102003309981. The next prime is 2102003310103. The reversal of 2102003310013 is 3100133002012.

Together with next prime (2102003310103) 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., 1706466717124 + 395536592889 = 1306318^2 + 628917^2 .

It is a cyclic number.

It is not a de Polignac number, because 2102003310013 - 2⁵ = 2102003309981 is a prime.

It is a super-4 number, since 4×2102003310013⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2102003310413) 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, 1051001655006 + 1051001655007.

It is an arithmetic number, because the mean of its divisors is an integer number (1051001655007).

Almost surely, 2^{2102003310013} is an apocalyptic number.

It is an amenable number.

2102003310013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2102003310013 is an equidigital number, since it uses as much as digits as its factorization.

2102003310013 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 2102003310013 its reverse (3100133002012), we get a palindrome (5202136312025).

The spelling of 2102003310013 in words is "two trillion, one hundred two billion, three million, three hundred ten thousand, thirteen".