13283313120000 has 5760 divisors, whose sum is σ = 67859518003200. Its totient is φ = 2508226560000.

The previous prime is 13283313119969. The next prime is 13283313120113. The reversal of 13283313120000 is 2131338231.

13283313120000 is a `hidden beast` number, since 1 + 328 + 3 + 3 + 131 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 458045279986 + ... + 458045280014.

It is an arithmetic number, because the mean of its divisors is an integer number (11781166320).

Almost surely, 2^{13283313120000} is an apocalyptic number.

13283313120000 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 13283313120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33929759001600).

13283313120000 is an abundant number, since it is smaller than the sum of its proper divisors (54576204883200).

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

13283313120000 is an frugal number, since it uses more digits than its factorization.

13283313120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13283313120000 its reverse (2131338231), we get a palindrome (13285444458231).

The spelling of 13283313120000 in words is "thirteen trillion, two hundred eighty-three billion, three hundred thirteen million, one hundred twenty thousand".