2130240013 has 16 divisors (see below), whose sum is σ = 2435412096. Its totient is φ = 1844381440.

The previous prime is 2130239981. The next prime is 2130240031. The reversal of 2130240013 is 3100420312.

It is a happy number.

It is not a de Polignac number, because 2130240013 - 2⁵ = 2130239981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130210013) 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, 40881 + ... + 77017.

It is an arithmetic number, because the mean of its divisors is an integer number (152213256).

Almost surely, 2^2130240013 is an apocalyptic number.

2130240013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

2130240013 is a deficient number, since it is larger than the sum of its proper divisors (305172083).

2130240013 is a wasteful number, since it uses less digits than its factorization.

2130240013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36404.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2130240013 is about 46154.5232127903. The cubic root of 2130240013 is about 1286.6966768469.

Adding to 2130240013 its reverse (3100420312), we get a palindrome (5230660325).

The spelling of 2130240013 in words is "two billion, one hundred thirty million, two hundred forty thousand, thirteen".