2135126313 has 12 divisors (see below), whose sum is σ = 3095801280. Its totient is φ = 1418003736.

The previous prime is 2135126303. The next prime is 2135126321. The reversal of 2135126313 is 3136215312.

2135126313 is a `hidden beast` number, since 2 + 13 + 5 + 12 + 631 + 3 = 666.

It is not a de Polignac number, because 2135126313 - 2⁴ = 2135126297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2135126303) 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 11 ways as a sum of consecutive naturals, for example, 448653 + ... + 453386.

It is an arithmetic number, because the mean of its divisors is an integer number (257983440).

Almost surely, 2^2135126313 is an apocalyptic number.

It is an amenable number.

2135126313 is a deficient number, since it is larger than the sum of its proper divisors (960674967).

2135126313 is a wasteful number, since it uses less digits than its factorization.

2135126313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902308 (or 902305 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 2135126313 is about 46207.4270328916. The cubic root of 2135126313 is about 1287.6797249091.

The spelling of 2135126313 in words is "two billion, one hundred thirty-five million, one hundred twenty-six thousand, three hundred thirteen".