2013120413 has 4 divisors (see below), whose sum is σ = 2013325500. Its totient is φ = 2012915328.

The previous prime is 2013120409. The next prime is 2013120427. The reversal of 2013120413 is 3140213102.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 53553124 + 1959567289 = 7318^2 + 44267^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013120413 - 2² = 2013120409 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013120391 and 2013120400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013120493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87038 + ... + 107711.

It is an arithmetic number, because the mean of its divisors is an integer number (503331375).

Almost surely, 2^2013120413 is an apocalyptic number.

It is an amenable number.

2013120413 is a deficient number, since it is larger than the sum of its proper divisors (205087).

2013120413 is a wasteful number, since it uses less digits than its factorization.

2013120413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205086.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2013120413 is about 44867.8104324247. The cubic root of 2013120413 is about 1262.6701611379.

Adding to 2013120413 its reverse (3140213102), we get a palindrome (5153333515).

The spelling of 2013120413 in words is "two billion, thirteen million, one hundred twenty thousand, four hundred thirteen".