13007273500 has 96 divisors (see below), whose sum is σ = 31244758272. Its totient is φ = 4700390400.

The previous prime is 13007273437. The next prime is 13007273533. The reversal of 13007273500 is 537270031.

13007273500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 284212 + ... + 326788.

It is an arithmetic number, because the mean of its divisors is an integer number (325466232).

Almost surely, 2^13007273500 is an apocalyptic number.

13007273500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13007273500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15622379136).

13007273500 is an abundant number, since it is smaller than the sum of its proper divisors (18237484772).

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

13007273500 is a wasteful number, since it uses less digits than its factorization.

13007273500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42656 (or 42644 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 28.

The spelling of 13007273500 in words is "thirteen billion, seven million, two hundred seventy-three thousand, five hundred".