13330304121300 has 144 divisors (see below), whose sum is σ = 39304789332480. Its totient is φ = 3486961820160.

The previous prime is 13330304121209. The next prime is 13330304121301. The reversal of 13330304121300 is 312140303331.

It is a happy number.

13330304121300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13330304121300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330304121301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79782246 + ... + 79949154.

It is an arithmetic number, because the mean of its divisors is an integer number (272949925920).

Almost surely, 2^{13330304121300} is an apocalyptic number.

13330304121300 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 13330304121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652394666240).

13330304121300 is an abundant number, since it is smaller than the sum of its proper divisors (25974485211180).

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

13330304121300 is a wasteful number, since it uses less digits than its factorization.

13330304121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172002 (or 171995 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13330304121300 its reverse (312140303331), we get a palindrome (13642444424631).

The spelling of 13330304121300 in words is "thirteen trillion, three hundred thirty billion, three hundred four million, one hundred twenty-one thousand, three hundred".