2013130416 has 80 divisors (see below), whose sum is σ = 5706420480. Its totient is φ = 606485760.

The previous prime is 2013130409. The next prime is 2013130451. The reversal of 2013130416 is 6140313102.

It is a junction number, because it is equal to n+sod(n) for n = 2013130392 and 2013130401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80325 + ... + 102363.

It is an arithmetic number, because the mean of its divisors is an integer number (71330256).

Almost surely, 2^2013130416 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 2013130416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2853210240).

2013130416 is an abundant number, since it is smaller than the sum of its proper divisors (3693290064).

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

2013130416 is a wasteful number, since it uses less digits than its factorization.

2013130416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22234 (or 22228 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2013130416 is about 44867.9219041845. The cubic root of 2013130416 is about 1262.6722524963.

Adding to 2013130416 its reverse (6140313102), we get a palindrome (8153443518).

The spelling of 2013130416 in words is "two billion, thirteen million, one hundred thirty thousand, four hundred sixteen".