2137107313 has 16 divisors (see below), whose sum is σ = 2377589760. Its totient is φ = 1904635600.

The previous prime is 2137107299. The next prime is 2137107317. The reversal of 2137107313 is 3137017312.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2137107313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2137107317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132156 + ... + 147442.

It is an arithmetic number, because the mean of its divisors is an integer number (148599360).

Almost surely, 2^2137107313 is an apocalyptic number.

It is an amenable number.

2137107313 is a deficient number, since it is larger than the sum of its proper divisors (240482447).

2137107313 is a wasteful number, since it uses less digits than its factorization.

2137107313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15548.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 2137107313 is about 46228.8580109870. The cubic root of 2137107313 is about 1288.0778442159.

Subtracting 2137107313 from its reverse (3137017312), we obtain a palindrome (999909999).

The spelling of 2137107313 in words is "two billion, one hundred thirty-seven million, one hundred seven thousand, three hundred thirteen".