2013021320 has 32 divisors (see below), whose sum is σ = 4541474520. Its totient is φ = 803043840.

The previous prime is 2013021319. The next prime is 2013021331. The reversal of 2013021320 is 231203102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1652097316 + 360924004 = 40646^2 + 18998^2 .

It is a super-3 number, since 3×2013021320³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2013021295 and 2013021304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52541 + ... + 82380.

Almost surely, 2^2013021320 is an apocalyptic number.

2013021320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013021320 is an abundant number, since it is smaller than the sum of its proper divisors (2528453200).

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

2013021320 is a wasteful number, since it uses less digits than its factorization.

2013021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135305 (or 135301 counting only the distinct ones).

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

The square root of 2013021320 is about 44866.7061416369. The cubic root of 2013021320 is about 1262.6494430814.

Adding to 2013021320 its reverse (231203102), we get a palindrome (2244224422).

The spelling of 2013021320 in words is "two billion, thirteen million, twenty-one thousand, three hundred twenty".