13132213200 has 180 divisors, whose sum is σ = 45623636448. Its totient is φ = 3497990400.

The previous prime is 13132213189. The next prime is 13132213217. The reversal of 13132213200 is 231223131.

13132213200 is a `hidden beast` number, since 131 + 322 + 13 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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 (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4703805 + ... + 4706595.

Almost surely, 2^13132213200 is an apocalyptic number.

13132213200 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 13132213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811818224).

13132213200 is an abundant number, since it is smaller than the sum of its proper divisors (32491423248).

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

13132213200 is a wasteful number, since it uses less digits than its factorization.

13132213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4122 (or 4108 counting only the distinct ones).

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

Adding to 13132213200 its reverse (231223131), we get a palindrome (13363436331).

The spelling of 13132213200 in words is "thirteen billion, one hundred thirty-two million, two hundred thirteen thousand, two hundred".