13723210500 has 96 divisors (see below), whose sum is σ = 40716224640. Its totient is φ = 3590454400.

The previous prime is 13723210493. The next prime is 13723210517. The reversal of 13723210500 is 501232731.

13723210500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13723210500³ (a number of 31 digits) contains 333 as substring.

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, 6810 + ... + 165809.

It is an arithmetic number, because the mean of its divisors is an integer number (424127340).

Almost surely, 2^13723210500 is an apocalyptic number.

13723210500 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 13723210500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20358112320).

13723210500 is an abundant number, since it is smaller than the sum of its proper divisors (26993014140).

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

13723210500 is a wasteful number, since it uses less digits than its factorization.

13723210500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172694 (or 172682 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The spelling of 13723210500 in words is "thirteen billion, seven hundred twenty-three million, two hundred ten thousand, five hundred".