2013201320 has 64 divisors (see below), whose sum is σ = 4889808000. Its totient is φ = 741558528.

The previous prime is 2013201301. The next prime is 2013201331. The reversal of 2013201320 is 231023102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2013201295 and 2013201304.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 223871 + ... + 232689.

It is an arithmetic number, because the mean of its divisors is an integer number (76403250).

Almost surely, 2^2013201320 is an apocalyptic number.

2013201320 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 2013201320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444904000).

2013201320 is an abundant number, since it is smaller than the sum of its proper divisors (2876606680).

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

2013201320 is a wasteful number, since it uses less digits than its factorization.

2013201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9282 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2013201320 is about 44868.7120385687. The cubic root of 2013201320 is about 1262.6870764179.

Adding to 2013201320 its reverse (231023102), we get a palindrome (2244224422).

The spelling of 2013201320 in words is "two billion, thirteen million, two hundred one thousand, three hundred twenty".