2013101313 has 16 divisors (see below), whose sum is σ = 2703820800. Its totient is φ = 1332256464.

The previous prime is 2013101309. The next prime is 2013101351. The reversal of 2013101313 is 3131013102.

It is not a de Polignac number, because 2013101313 - 2² = 2013101309 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2013101292 and 2013101301.

It is not an unprimeable number, because it can be changed into a prime (2013101383) 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, 272770 + ... + 280052.

It is an arithmetic number, because the mean of its divisors is an integer number (168988800).

Almost surely, 2^2013101313 is an apocalyptic number.

It is an amenable number.

2013101313 is a deficient number, since it is larger than the sum of its proper divisors (690719487).

2013101313 is a wasteful number, since it uses less digits than its factorization.

2013101313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7948.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 2013101313 is about 44867.5975844484. The cubic root of 2013101313 is about 1262.6661678222. Note that the first 3 decimals are identical.

Adding to 2013101313 its reverse (3131013102), we get a palindrome (5144114415).

The spelling of 2013101313 in words is "two billion, thirteen million, one hundred one thousand, three hundred thirteen".