2013033002313 has 4 divisors (see below), whose sum is σ = 2684044003088. Its totient is φ = 1342022001540.

The previous prime is 2013033002303. The next prime is 2013033002341. The reversal of 2013033002313 is 3132003303102.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 2013033002313 - 2⁶ = 2013033002249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2013033002313.

It is not an unprimeable number, because it can be changed into a prime (2013033002303) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 335505500383 + ... + 335505500388.

It is an arithmetic number, because the mean of its divisors is an integer number (671011000772).

Almost surely, 2^{2013033002313} is an apocalyptic number.

It is an amenable number.

2013033002313 is a deficient number, since it is larger than the sum of its proper divisors (671011000775).

2013033002313 is an equidigital number, since it uses as much as digits as its factorization.

2013033002313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671011000774.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 2013033002313 its reverse (3132003303102), we get a palindrome (5145036305415).

The spelling of 2013033002313 in words is "two trillion, thirteen billion, thirty-three million, two thousand, three hundred thirteen".