2131320113 has 16 divisors (see below), whose sum is σ = 2401131600. Its totient is φ = 1878159360.

The previous prime is 2131320077. The next prime is 2131320119. The reversal of 2131320113 is 3110231312.

It can be written as a sum of positive squares in 8 ways, for example, as 162001984 + 1969318129 = 12728^2 + 44377^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131320113 - 2²⁶ = 2064211249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2131320091 and 2131320100.

It is not an unprimeable number, because it can be changed into a prime (2131320119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1793 + ... + 65313.

It is an arithmetic number, because the mean of its divisors is an integer number (150070725).

Almost surely, 2^2131320113 is an apocalyptic number.

It is an amenable number.

2131320113 is a deficient number, since it is larger than the sum of its proper divisors (269811487).

2131320113 is a wasteful number, since it uses less digits than its factorization.

2131320113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63652.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 2131320113 is about 46166.2226416674. Note that the first 3 decimals coincide. The cubic root of 2131320113 is about 1286.9141055958.

Adding to 2131320113 its reverse (3110231312), we get a palindrome (5241551425).

The spelling of 2131320113 in words is "two billion, one hundred thirty-one million, three hundred twenty thousand, one hundred thirteen".