13115310200 has 96 divisors (see below), whose sum is σ = 30731626800. Its totient is φ = 5205288960.

The previous prime is 13115310163. The next prime is 13115310203. The reversal of 13115310200 is 201351131.

13115310200 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-2 number, since 2×13115310200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13115310203) 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 23 ways as a sum of consecutive naturals, for example, 23295119 + ... + 23295681.

Almost surely, 2^13115310200 is an apocalyptic number.

13115310200 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 13115310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15365813400).

13115310200 is an abundant number, since it is smaller than the sum of its proper divisors (17616316600).

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

13115310200 is a wasteful number, since it uses less digits than its factorization.

13115310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

Adding to 13115310200 its reverse (201351131), we get a palindrome (13316661331).

The spelling of 13115310200 in words is "thirteen billion, one hundred fifteen million, three hundred ten thousand, two hundred".