13130322268672 has 160 divisors (see below), whose sum is σ = 31577063760000. Its totient is φ = 5328378298368.

The previous prime is 13130322268667. The next prime is 13130322268757. The reversal of 13130322268672 is 27686222303131.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135666954 + ... + 135763702.

It is an arithmetic number, because the mean of its divisors is an integer number (197356648500).

Almost surely, 2^{13130322268672} 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 13130322268672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788531880000).

13130322268672 is an abundant number, since it is smaller than the sum of its proper divisors (18446741491328).

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

13130322268672 is an equidigital number, since it uses as much as digits as its factorization.

13130322268672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98786 (or 98770 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 46.

The spelling of 13130322268672 in words is "thirteen trillion, one hundred thirty billion, three hundred twenty-two million, two hundred sixty-eight thousand, six hundred seventy-two".