2013331320 has 768 divisors, whose sum is σ = 9082644480. Its totient is φ = 373248000.

The previous prime is 2013331303. The next prime is 2013331361. The reversal of 2013331320 is 231333102.

2013331320 is a `hidden beast` number, since 2 + 0 + 13 + 331 + 320 = 666.

It is a super-4 number, since 4×2013331320⁴ (a number of 38 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2013331293 and 2013331302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13333245 + ... + 13333395.

It is an arithmetic number, because the mean of its divisors is an integer number (11826360).

Almost surely, 2^2013331320 is an apocalyptic number.

2013331320 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 2013331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4541322240).

2013331320 is an abundant number, since it is smaller than the sum of its proper divisors (7069313160).

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

2013331320 is a wasteful number, since it uses less digits than its factorization.

2013331320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2013331320 is about 44870.1606861397. The cubic root of 2013331320 is about 1262.7142546547.

Adding to 2013331320 its reverse (231333102), we get a palindrome (2244664422).

It can be divided in two parts, 2013 and 331320, that added together give a palindrome (333333).

The spelling of 2013331320 in words is "two billion, thirteen million, three hundred thirty-one thousand, three hundred twenty".