2013413213344 has 96 divisors (see below), whose sum is σ = 4455045391104. Its totient is φ = 888740751360.

The previous prime is 2013413213299. The next prime is 2013413213351. The reversal of 2013413213344 is 4433123143102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119333229 + ... + 119350099.

It is an arithmetic number, because the mean of its divisors is an integer number (46406722824).

Almost surely, 2^{2013413213344} 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 2013413213344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2227522695552).

2013413213344 is an abundant number, since it is smaller than the sum of its proper divisors (2441632177760).

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

2013413213344 is a wasteful number, since it uses less digits than its factorization.

2013413213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29390 (or 29382 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 2013413213344 its reverse (4433123143102), we get a palindrome (6446536356446).

The spelling of 2013413213344 in words is "two trillion, thirteen billion, four hundred thirteen million, two hundred thirteen thousand, three hundred forty-four".