13013302320000 has 1280 divisors, whose sum is σ = 48982570560000. Its totient is φ = 3399542784000.

The previous prime is 13013302319977. The next prime is 13013302320041. The reversal of 13013302320000 is 2320331031.

13013302320000 is a `hidden beast` number, since 1 + 30 + 13 + 302 + 320 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26721359757 + ... + 26721360243.

It is an arithmetic number, because the mean of its divisors is an integer number (38267633250).

Almost surely, 2^{13013302320000} is an apocalyptic number.

13013302320000 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 13013302320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24491285280000).

13013302320000 is an abundant number, since it is smaller than the sum of its proper divisors (35969268240000).

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

13013302320000 is an equidigital number, since it uses as much as digits as its factorization.

13013302320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13013302320000 its reverse (2320331031), we get a palindrome (13015622651031).

The spelling of 13013302320000 in words is "thirteen trillion, thirteen billion, three hundred two million, three hundred twenty thousand".