13010500800 has 1008 divisors, whose sum is σ = 55294377600. Its totient is φ = 2965248000.

The previous prime is 13010500777. The next prime is 13010500813. The reversal of 13010500800 is 800501031.

It is a happy number.

13010500800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 99316735 + ... + 99316865.

Almost surely, 2^13010500800 is an apocalyptic number.

13010500800 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 13010500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27647188800).

13010500800 is an abundant number, since it is smaller than the sum of its proper divisors (42283876800).

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

13010500800 is a wasteful number, since it uses less digits than its factorization.

13010500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The spelling of 13010500800 in words is "thirteen billion, ten million, five hundred thousand, eight hundred".