13101200112 has 640 divisors, whose sum is σ = 48636887040. Its totient is φ = 2926264320.

The previous prime is 13101200111. The next prime is 13101200137. The reversal of 13101200112 is 21100210131.

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 (13101200111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103158993 + ... + 103159119.

It is an arithmetic number, because the mean of its divisors is an integer number (75995136).

Almost surely, 2^13101200112 is an apocalyptic number.

13101200112 is a gapful number since it is divisible by the number (12) 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 13101200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24318443520).

13101200112 is an abundant number, since it is smaller than the sum of its proper divisors (35535686928).

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

13101200112 is a wasteful number, since it uses less digits than its factorization.

13101200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

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

Adding to 13101200112 its reverse (21100210131), we get a palindrome (34201410243).

The spelling of 13101200112 in words is "thirteen billion, one hundred one million, two hundred thousand, one hundred twelve".