2013100011313 has 8 divisors (see below), whose sum is σ = 2017411022336. Its totient is φ = 2008792548000.

The previous prime is 2013100011283. The next prime is 2013100011317. The reversal of 2013100011313 is 3131100013102.

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 2013100011313 - 2¹³ = 2013100003121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2013100011317) 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, 250720 + ... + 2022142.

It is an arithmetic number, because the mean of its divisors is an integer number (252176377792).

Almost surely, 2^{2013100011313} is an apocalyptic number.

It is an amenable number.

2013100011313 is a deficient number, since it is larger than the sum of its proper divisors (4311011023).

2013100011313 is a wasteful number, since it uses less digits than its factorization.

2013100011313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773855.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 2013100011313 its reverse (3131100013102), we get a palindrome (5144200024415).

The spelling of 2013100011313 in words is "two trillion, thirteen billion, one hundred million, eleven thousand, three hundred thirteen".