2130113313 has 24 divisors (see below), whose sum is σ = 3255096000. Its totient is φ = 1338552864.

The previous prime is 2130113299. The next prime is 2130113327. The reversal of 2130113313 is 3133110312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2130113299) and next prime (2130113327).

It is not a de Polignac number, because 2130113313 - 2⁵ = 2130113281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2130113333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2731 + ... + 65327.

It is an arithmetic number, because the mean of its divisors is an integer number (135629000).

Almost surely, 2^2130113313 is an apocalyptic number.

It is an amenable number.

2130113313 is a deficient number, since it is larger than the sum of its proper divisors (1124982687).

2130113313 is a wasteful number, since it uses less digits than its factorization.

2130113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62821 (or 62818 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2130113313 is about 46153.1506291824. The cubic root of 2130113313 is about 1286.6711667792.

Adding to 2130113313 its reverse (3133110312), we get a palindrome (5263223625).

The spelling of 2130113313 in words is "two billion, one hundred thirty million, one hundred thirteen thousand, three hundred thirteen".