13130361984 has 256 divisors, whose sum is σ = 37128130560. Its totient is φ = 4105728000.

The previous prime is 13130361947. The next prime is 13130361989. The reversal of 13130361984 is 48916303131.

It is not an unprimeable number, because it can be changed into a prime (13130361989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80554287 + ... + 80554449.

It is an arithmetic number, because the mean of its divisors is an integer number (145031760).

Almost surely, 2^13130361984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13130361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18564065280).

13130361984 is an abundant number, since it is smaller than the sum of its proper divisors (23997768576).

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

13130361984 is a wasteful number, since it uses less digits than its factorization.

13130361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 13130361984 in words is "thirteen billion, one hundred thirty million, three hundred sixty-one thousand, nine hundred eighty-four".