2013213120 has 56 divisors (see below), whose sum is σ = 6391954704. Its totient is φ = 536856576.

The previous prime is 2013213113. The next prime is 2013213127. The reversal of 2013213120 is 213123102.

It is an interprime number because it is at equal distance from previous prime (2013213113) and next prime (2013213127).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2013213120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1047589 + ... + 1049508.

Almost surely, 2^2013213120 is an apocalyptic number.

2013213120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013213120 is an abundant number, since it is smaller than the sum of its proper divisors (4378741584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2013213120 is a wasteful number, since it uses less digits than its factorization.

2013213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097117 (or 2097107 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013213120 is about 44868.8435331244. The cubic root of 2013213120 is about 1262.6895434138.

Adding to 2013213120 its reverse (213123102), we get a palindrome (2226336222).

The spelling of 2013213120 in words is "two billion, thirteen million, two hundred thirteen thousand, one hundred twenty".