2013113627 has 16 divisors (see below), whose sum is σ = 2335120320. Its totient is φ = 1699771392.

The previous prime is 2013113621. The next prime is 2013113659. The reversal of 2013113627 is 7263113102.

It is a cyclic number.

It is not a de Polignac number, because 2013113627 - 2⁶ = 2013113563 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2013113596 and 2013113605.

It is not an unprimeable number, because it can be changed into a prime (2013113621) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515699 + ... + 519587.

It is an arithmetic number, because the mean of its divisors is an integer number (145945020).

Almost surely, 2^2013113627 is an apocalyptic number.

2013113627 is a deficient number, since it is larger than the sum of its proper divisors (322006693).

2013113627 is a wasteful number, since it uses less digits than its factorization.

2013113627 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982.

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 2013113627 is about 44867.7348102175. The cubic root of 2013113627 is about 1262.6687423638.

Adding to 2013113627 its reverse (7263113102), we get a palindrome (9276226729).

The spelling of 2013113627 in words is "two billion, thirteen million, one hundred thirteen thousand, six hundred twenty-seven".