2013103313 has 8 divisors (see below), whose sum is σ = 2262216768. Its totient is φ = 1777455504.

The previous prime is 2013103283. The next prime is 2013103343. The reversal of 2013103313 is 3133013102.

It is an interprime number because it is at equal distance from previous prime (2013103283) and next prime (2013103343).

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 2013103313 - 2²⁴ = 1996326097 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2013103291 and 2013103300.

It is not an unprimeable number, because it can be changed into a prime (2013103343) 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 7 ways as a sum of consecutive naturals, for example, 3366095 + ... + 3366692.

It is an arithmetic number, because the mean of its divisors is an integer number (282777096).

Almost surely, 2^2013103313 is an apocalyptic number.

2013103313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2013103313 is a deficient number, since it is larger than the sum of its proper divisors (249113455).

2013103313 is a wasteful number, since it uses less digits than its factorization.

2013103313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732823.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 2013103313 is about 44867.6198722419. The cubic root of 2013103313 is about 1262.6665859716. Note that the first 3 decimals are identical.

Adding to 2013103313 its reverse (3133013102), we get a palindrome (5146116415).

The spelling of 2013103313 in words is "two billion, thirteen million, one hundred three thousand, three hundred thirteen".