2010220313 has 8 divisors (see below), whose sum is σ = 2019466632. Its totient is φ = 2000992896.

The previous prime is 2010220279. The next prime is 2010220351. The reversal of 2010220313 is 3130220102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 760384 + 2009459929 = 872^2 + 44827^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2010220313 - 2¹² = 2010216217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010220613) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 235781 + ... + 244157.

It is an arithmetic number, because the mean of its divisors is an integer number (252433329).

Almost surely, 2^2010220313 is an apocalyptic number.

It is an amenable number.

2010220313 is a deficient number, since it is larger than the sum of its proper divisors (9246319).

2010220313 is an equidigital number, since it uses as much as digits as its factorization.

2010220313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9451.

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

The square root of 2010220313 is about 44835.4805148779. The cubic root of 2010220313 is about 1262.0635357967.

Adding to 2010220313 its reverse (3130220102), we get a palindrome (5140440415).

The spelling of 2010220313 in words is "two billion, ten million, two hundred twenty thousand, three hundred thirteen".