13213213200000 has 576 divisors, whose sum is σ = 51845560734240. Its totient is φ = 3203193600000.

The previous prime is 13213213199993. The next prime is 13213213200041. The reversal of 13213213200000 is 231231231.

13213213200000 is a `hidden beast` number, since 1 + 3 + 21 + 321 + 320 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39433167 + ... + 39766833.

Almost surely, 2^{13213213200000} is an apocalyptic number.

13213213200000 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 13213213200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25922780367120).

13213213200000 is an abundant number, since it is smaller than the sum of its proper divisors (38632347534240).

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

13213213200000 is an equidigital number, since it uses as much as digits as its factorization.

13213213200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333723 (or 333688 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13213213200000 its reverse (231231231), we get a palindrome (13213444431231).

The spelling of 13213213200000 in words is "thirteen trillion, two hundred thirteen billion, two hundred thirteen million, two hundred thousand".