13015015200 has 1080 divisors, whose sum is σ = 56318114160. Its totient is φ = 2892672000.

The previous prime is 13015015163. The next prime is 13015015201. The reversal of 13015015200 is 251051031.

13015015200 is a `hidden beast` number, since 130 + 15 + 0 + 1 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is not an unprimeable number, because it can be changed into a prime (13015015201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 419839185 + ... + 419839215.

It is an arithmetic number, because the mean of its divisors is an integer number (52146402).

Almost surely, 2^13015015200 is an apocalyptic number.

13015015200 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 13015015200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28159057080).

13015015200 is an abundant number, since it is smaller than the sum of its proper divisors (43303098960).

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

13015015200 is a wasteful number, since it uses less digits than its factorization.

13015015200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

13015015200 divided by its product of nonzero digits (150) gives a palindrome (86766768).

Adding to 13015015200 its reverse (251051031), we get a palindrome (13266066231).

The spelling of 13015015200 in words is "thirteen billion, fifteen million, fifteen thousand, two hundred".