13007836710 has 128 divisors (see below), whose sum is σ = 38764293120. Its totient is φ = 3076473600.

The previous prime is 13007836663. The next prime is 13007836711. The reversal of 13007836710 is 1763870031.

13007836710 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13007836711) 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 63 ways as a sum of consecutive naturals, for example, 68359 + ... + 175181.

It is an arithmetic number, because the mean of its divisors is an integer number (302846040).

Almost surely, 2^13007836710 is an apocalyptic number.

13007836710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13007836710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19382146560).

13007836710 is an abundant number, since it is smaller than the sum of its proper divisors (25756456410).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13007836710 is a wasteful number, since it uses less digits than its factorization.

13007836710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106891 (or 106885 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 13007836710 in words is "thirteen billion, seven million, eight hundred thirty-six thousand, seven hundred ten".