2213113012013 has 32 divisors (see below), whose sum is σ = 2334710661120. Its totient is φ = 2095155720000.

The previous prime is 2213113011983. The next prime is 2213113012021. The reversal of 2213113012013 is 3102103113122.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2213113012013 - 2³⁴ = 2195933142829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213113012063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331350608 + ... + 331357286.

It is an arithmetic number, because the mean of its divisors is an integer number (72959708160).

Almost surely, 2^{2213113012013} is an apocalyptic number.

It is an amenable number.

2213113012013 is a deficient number, since it is larger than the sum of its proper divisors (121597649107).

2213113012013 is a wasteful number, since it uses less digits than its factorization.

2213113012013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7929.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2213113012013 its reverse (3102103113122), we get a palindrome (5315216125135).

The spelling of 2213113012013 in words is "two trillion, two hundred thirteen billion, one hundred thirteen million, twelve thousand, thirteen".