10113133200 has 120 divisors (see below), whose sum is σ = 32462580000. Its totient is φ = 2691271680.

The previous prime is 10113133159. The next prime is 10113133201. The reversal of 10113133200 is 233131101.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10113133200.

It is not an unprimeable number, because it can be changed into a prime (10113133201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590356 + ... + 607244.

It is an arithmetic number, because the mean of its divisors is an integer number (270521500).

Almost surely, 2^10113133200 is an apocalyptic number.

10113133200 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 10113133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16231290000).

10113133200 is an abundant number, since it is smaller than the sum of its proper divisors (22349446800).

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

10113133200 is a wasteful number, since it uses less digits than its factorization.

10113133200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17409 (or 17398 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 10113133200 its reverse (233131101), we get a palindrome (10346264301).

The spelling of 10113133200 in words is "ten billion, one hundred thirteen million, one hundred thirty-three thousand, two hundred".