13312213200 has 720 divisors, whose sum is σ = 57171965760. Its totient is φ = 2820096000.

The previous prime is 13312213199. The next prime is 13312213241. The reversal of 13312213200 is 231221331.

13312213200 is a `hidden beast` number, since 13 + 312 + 21 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9780520 + ... + 9781880.

It is an arithmetic number, because the mean of its divisors is an integer number (79405508).

Almost surely, 2^13312213200 is an apocalyptic number.

13312213200 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 13312213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28585982880).

13312213200 is an abundant number, since it is smaller than the sum of its proper divisors (43859752560).

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

13312213200 is a wasteful number, since it uses less digits than its factorization.

13312213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

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

Adding to 13312213200 its reverse (231221331), we get a palindrome (13543434531).

The spelling of 13312213200 in words is "thirteen billion, three hundred twelve million, two hundred thirteen thousand, two hundred".