2113200010013 has 2 divisors, whose sum is σ = 2113200010014. Its totient is φ = 2113200010012.

The previous prime is 2113200010001. The next prime is 2113200010043. The reversal of 2113200010013 is 3100100023112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1399306823929 + 713893186084 = 1182923^2 + 844922^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113200010013 - 2⁸ = 2113200009757 is a prime.

It is a super-2 number, since 2×2113200010013² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2113200010013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2113200010043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056600005006 + 1056600005007.

It is an arithmetic number, because the mean of its divisors is an integer number (1056600005007).

Almost surely, 2^{2113200010013} is an apocalyptic number.

It is an amenable number.

2113200010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113200010013 is an equidigital number, since it uses as much as digits as its factorization.

2113200010013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2113200010013 its reverse (3100100023112), we get a palindrome (5213300033125).

The spelling of 2113200010013 in words is "two trillion, one hundred thirteen billion, two hundred million, ten thousand, thirteen".