13130204331300 has 576 divisors, whose sum is σ = 45396294451200. Its totient is φ = 2927341347840.

The previous prime is 13130204331287. The next prime is 13130204331329. The reversal of 13130204331300 is 313340203131.

It is a happy number.

13130204331300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4145942317 + ... + 4145945483.

It is an arithmetic number, because the mean of its divisors is an integer number (78813011200).

Almost surely, 2^{13130204331300} is an apocalyptic number.

13130204331300 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 13130204331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22698147225600).

13130204331300 is an abundant number, since it is smaller than the sum of its proper divisors (32266090119900).

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

13130204331300 is a wasteful number, since it uses less digits than its factorization.

13130204331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4185 (or 4164 counting only the distinct ones).

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

Adding to 13130204331300 its reverse (313340203131), we get a palindrome (13443544534431).

The spelling of 13130204331300 in words is "thirteen trillion, one hundred thirty billion, two hundred four million, three hundred thirty-one thousand, three hundred".