3136640013 has 24 divisors (see below), whose sum is σ = 4881644768. Its totient is φ = 1929280032.

The previous prime is 3136639999. The next prime is 3136640021. The reversal of 3136640013 is 3100466313.

3136640013 is a `hidden beast` number, since 3 + 1 + 3 + 6 + 640 + 0 + 13 = 666.

It is not a de Polignac number, because 3136640013 - 2⁵ = 3136639981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3136640093) 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 23 ways as a sum of consecutive naturals, for example, 283206 + ... + 294072.

Almost surely, 2^3136640013 is an apocalyptic number.

It is an amenable number.

3136640013 is a deficient number, since it is larger than the sum of its proper divisors (1745004755).

3136640013 is a wasteful number, since it uses less digits than its factorization.

3136640013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13353 (or 13350 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3136640013 is about 56005.7141102584. The cubic root of 3136640013 is about 1463.8218522031.

The spelling of 3136640013 in words is "three billion, one hundred thirty-six million, six hundred forty thousand, thirteen".