13133312000 has 208 divisors, whose sum is σ = 33212473632. Its totient is φ = 5183897600.

The previous prime is 13133311999. The next prime is 13133312011. The reversal of 13133312000 is 21333131.

It is a self number, because there is not a number n which added to its sum of digits gives 13133312000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 57855887 + ... + 57856113.

It is an arithmetic number, because the mean of its divisors is an integer number (159675354).

Almost surely, 2^13133312000 is an apocalyptic number.

13133312000 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 13133312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606236816).

13133312000 is an abundant number, since it is smaller than the sum of its proper divisors (20079161632).

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

13133312000 is an equidigital number, since it uses as much as digits as its factorization.

13133312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 13133312000 its reverse (21333131), we get a palindrome (13154645131).

The spelling of 13133312000 in words is "thirteen billion, one hundred thirty-three million, three hundred twelve thousand".