2013316416 has 168 divisors, whose sum is σ = 6110813280. Its totient is φ = 632669184.

The previous prime is 2013316397. The next prime is 2013316427. The reversal of 2013316416 is 6146133102.

2013316416 is a `hidden beast` number, since 2 + 0 + 13 + 3 + 1 + 641 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2013316416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716871 + ... + 719673.

Almost surely, 2^2013316416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013316416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055406640).

2013316416 is an abundant number, since it is smaller than the sum of its proper divisors (4097496864).

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

2013316416 is a wasteful number, since it uses less digits than its factorization.

2013316416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2893 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2013316416 is about 44869.9946066411. The cubic root of 2013316416 is about 1262.7111388338.

Adding to 2013316416 its reverse (6146133102), we get a palindrome (8159449518).

The spelling of 2013316416 in words is "two billion, thirteen million, three hundred sixteen thousand, four hundred sixteen".