2013333313 has 16 divisors (see below), whose sum is σ = 2186113536. Its totient is φ = 1849207360.

The previous prime is 2013333277. The next prime is 2013333337. The reversal of 2013333313 is 3133333102.

It is not a de Polignac number, because 2013333313 - 2¹⁷ = 2013202241 is a prime.

It is a super-2 number, since 2×2013333313² = 8107022058471111938, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013333353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39723 + ... + 74863.

It is an arithmetic number, because the mean of its divisors is an integer number (136632096).

Almost surely, 2^2013333313 is an apocalyptic number.

2013333313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2013333313 is a deficient number, since it is larger than the sum of its proper divisors (172780223).

2013333313 is a wasteful number, since it uses less digits than its factorization.

2013333313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35264.

The product of its (nonzero) digits is 1458, while the sum is 22.

The square root of 2013333313 is about 44870.1828946573. The cubic root of 2013333313 is about 1262.7146713089.

Adding to 2013333313 its reverse (3133333102), we get a palindrome (5146666415).

The spelling of 2013333313 in words is "two billion, thirteen million, three hundred thirty-three thousand, three hundred thirteen".