2213120012013 has 24 divisors (see below), whose sum is σ = 3218080476416. Its totient is φ = 1465564557600.

The previous prime is 2213120012009. The next prime is 2213120012053. The reversal of 2213120012013 is 3102100213122.

2213120012013 is a `hidden beast` number, since 221 + 312 + 0 + 0 + 120 + 13 = 666.

2213120012013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2213120012013 - 2² = 2213120012009 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213120012053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4382508 + ... + 4861338.

Almost surely, 2^{2213120012013} is an apocalyptic number.

It is an amenable number.

2213120012013 is a deficient number, since it is larger than the sum of its proper divisors (1004960464403).

2213120012013 is a wasteful number, since it uses less digits than its factorization.

2213120012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482265 (or 482262 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2213120012013 its reverse (3102100213122), we get a palindrome (5315220225135).

The spelling of 2213120012013 in words is "two trillion, two hundred thirteen billion, one hundred twenty million, twelve thousand, thirteen".