2013082013 has 8 divisors (see below), whose sum is σ = 2132311032. Its totient is φ = 1893943296.

The previous prime is 2013082007. The next prime is 2013082063. The reversal of 2013082013 is 3102803102.

It can be written as a sum of positive squares in 4 ways, for example, as 1121044324 + 892037689 = 33482^2 + 29867^2 .

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 2013082013 - 2⁸ = 2013081757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013082063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26381 + ... + 68717.

It is an arithmetic number, because the mean of its divisors is an integer number (266538879).

Almost surely, 2^2013082013 is an apocalyptic number.

It is an amenable number.

2013082013 is a deficient number, since it is larger than the sum of its proper divisors (119229019).

2013082013 is a wasteful number, since it uses less digits than its factorization.

2013082013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45151.

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 2013082013 is about 44867.3825066718. The cubic root of 2013082013 is about 1262.6621326659.

Adding to 2013082013 its reverse (3102803102), we get a palindrome (5115885115).

The spelling of 2013082013 in words is "two billion, thirteen million, eighty-two thousand, thirteen".