2113111111213 has 2 divisors, whose sum is σ = 2113111111214. Its totient is φ = 2113111111212.

The previous prime is 2113111111211. The next prime is 2113111111249. The reversal of 2113111111213 is 3121111113112.

It is a m-pointer prime, because the next prime (2113111111249) can be obtained adding 2113111111213 to its product of digits (36).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2105987244804 + 7123866409 = 1451202^2 + 84403^2 .

It is a cyclic number.

It is not a de Polignac number, because 2113111111213 - 2¹ = 2113111111211 is a prime.

Together with 2113111111211, 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 (2113111111211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1056555555606 + 1056555555607.

It is an arithmetic number, because the mean of its divisors is an integer number (1056555555607).

Almost surely, 2^{2113111111213} is an apocalyptic number.

It is an amenable number.

2113111111213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2113111111213 is an equidigital number, since it uses as much as digits as its factorization.

2113111111213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 36, while the sum is 19.

Adding to 2113111111213 its reverse (3121111113112), we get a palindrome (5234222224325).

The spelling of 2113111111213 in words is "two trillion, one hundred thirteen billion, one hundred eleven million, one hundred eleven thousand, two hundred thirteen".