2131101313 has 16 divisors (see below), whose sum is σ = 2471451840. Its totient is φ = 1817208000.

The previous prime is 2131101263. The next prime is 2131101359. The reversal of 2131101313 is 3131011312.

It is a cyclic number.

It is not a de Polignac number, because 2131101313 - 2²⁹ = 1594230401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2131101373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29370 + ... + 71587.

It is an arithmetic number, because the mean of its divisors is an integer number (154465740).

Almost surely, 2^2131101313 is an apocalyptic number.

It is an amenable number.

2131101313 is a deficient number, since it is larger than the sum of its proper divisors (340350527).

2131101313 is a wasteful number, since it uses less digits than its factorization.

2131101313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101088.

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 2131101313 is about 46163.8528829646. The cubic root of 2131101313 is about 1286.8700661543.

Adding to 2131101313 its reverse (3131011312), we get a palindrome (5262112625).

Subtracting 2131101313 from its reverse (3131011312), we obtain a palindrome (999909999).

The spelling of 2131101313 in words is "two billion, one hundred thirty-one million, one hundred one thousand, three hundred thirteen".