10013113200 has 120 divisors (see below), whose sum is σ = 32107594288. Its totient is φ = 2667479040.

The previous prime is 10013113189. The next prime is 10013113207. The reversal of 10013113200 is 231131001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013113207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1379982 + ... + 1387218.

Almost surely, 2^10013113200 is an apocalyptic number.

10013113200 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 10013113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16053797144).

10013113200 is an abundant number, since it is smaller than the sum of its proper divisors (22094481088).

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

10013113200 is a wasteful number, since it uses less digits than its factorization.

10013113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8400 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10013113200 its reverse (231131001), we get a palindrome (10244244201).

The spelling of 10013113200 in words is "ten billion, thirteen million, one hundred thirteen thousand, two hundred".