13016308608000 has 1056 divisors, whose sum is σ = 49109603332608. Its totient is φ = 3437697024000.

The previous prime is 13016308607989. The next prime is 13016308608001. The reversal of 13016308608000 is 80680361031.

13016308608000 is a `hidden beast` number, since 1 + 3 + 0 + 16 + 30 + 8 + 608 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13016308608001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3328126045 + ... + 3328129955.

Almost surely, 2^{13016308608000} is an apocalyptic number.

13016308608000 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 13016308608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24554801666304).

13016308608000 is an abundant number, since it is smaller than the sum of its proper divisors (36093294724608).

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

13016308608000 is an equidigital number, since it uses as much as digits as its factorization.

13016308608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 13016308608000 its reverse (80680361031), we get a palindrome (13096988969031).

The spelling of 13016308608000 in words is "thirteen trillion, sixteen billion, three hundred eight million, six hundred eight thousand".