2013404314220 has 96 divisors (see below), whose sum is σ = 4624356877056. Its totient is φ = 731839046400.

The previous prime is 2013404314219. The next prime is 2013404314231. The reversal of 2013404314220 is 224134043102.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 2013404314220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27330035 + ... + 27403605.

It is an arithmetic number, because the mean of its divisors is an integer number (48170384136).

Almost surely, 2^{2013404314220} is an apocalyptic number.

2013404314220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013404314220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2312178438528).

2013404314220 is an abundant number, since it is smaller than the sum of its proper divisors (2610952562836).

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

2013404314220 is a wasteful number, since it uses less digits than its factorization.

2013404314220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75231 (or 75229 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 2013404314220 its reverse (224134043102), we get a palindrome (2237538357322).

The spelling of 2013404314220 in words is "two trillion, thirteen billion, four hundred four million, three hundred fourteen thousand, two hundred twenty".