2010113320 has 64 divisors (see below), whose sum is σ = 4823977680. Its totient is φ = 751190016.

The previous prime is 2010113317. The next prime is 2010113323. The reversal of 2010113320 is 233110102.

It is an interprime number because it is at equal distance from previous prime (2010113317) and next prime (2010113323).

It can be written as a sum of positive squares in 8 ways, for example, as 1596641764 + 413471556 = 39958^2 + 20334^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2010113320.

It is not an unprimeable number, because it can be changed into a prime (2010113323) by changing a digit.

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, 82372 + ... + 103948.

Almost surely, 2^2010113320 is an apocalyptic number.

2010113320 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 2010113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411988840).

2010113320 is an abundant number, since it is smaller than the sum of its proper divisors (2813864360).

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

2010113320 is a wasteful number, since it uses less digits than its factorization.

2010113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21742 (or 21738 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2010113320 is about 44834.2873256618. The cubic root of 2010113320 is about 1262.0411444932.

Adding to 2010113320 its reverse (233110102), we get a palindrome (2243223422).

The spelling of 2010113320 in words is "two billion, ten million, one hundred thirteen thousand, three hundred twenty".