13105334233200 has 480 divisors, whose sum is σ = 47380467456000. Its totient is φ = 3067674624000.

The previous prime is 13105334233177. The next prime is 13105334233207. The reversal of 13105334233200 is 233243350131.

13105334233200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13105334233207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183695136 + ... + 183766464.

It is an arithmetic number, because the mean of its divisors is an integer number (98709307200).

Almost surely, 2^{13105334233200} is an apocalyptic number.

13105334233200 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 13105334233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23690233728000).

13105334233200 is an abundant number, since it is smaller than the sum of its proper divisors (34275133222800).

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

13105334233200 is a wasteful number, since it uses less digits than its factorization.

13105334233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71841 (or 71830 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 30.

Adding to 13105334233200 its reverse (233243350131), we get a palindrome (13338577583331).

The spelling of 13105334233200 in words is "thirteen trillion, one hundred five billion, three hundred thirty-four million, two hundred thirty-three thousand, two hundred".