13300120313200 has 180 divisors, whose sum is σ = 37437864318120. Its totient is φ = 4527234270720.

The previous prime is 13300120313189. The next prime is 13300120313203. The reversal of 13300120313200 is 231302100331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300120313203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 283474 + ... + 5165326.

Almost surely, 2^{13300120313200} is an apocalyptic number.

13300120313200 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 13300120313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18718932159060).

13300120313200 is an abundant number, since it is smaller than the sum of its proper divisors (24137744004920).

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

13300120313200 is a wasteful number, since it uses less digits than its factorization.

13300120313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4882024 (or 4882006 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 13300120313200 its reverse (231302100331), we get a palindrome (13531422413531).

The spelling of 13300120313200 in words is "thirteen trillion, three hundred billion, one hundred twenty million, three hundred thirteen thousand, two hundred".