13132423200 has 288 divisors, whose sum is σ = 46204917696. Its totient is φ = 3220623360.

The previous prime is 13132423193. The next prime is 13132423207. The reversal of 13132423200 is 232423131.

It is an interprime number because it is at equal distance from previous prime (13132423193) and next prime (13132423207).

It is not an unprimeable number, because it can be changed into a prime (13132423207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10825794 + ... + 10827006.

It is an arithmetic number, because the mean of its divisors is an integer number (160433742).

Almost surely, 2^13132423200 is an apocalyptic number.

13132423200 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 13132423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23102458848).

13132423200 is an abundant number, since it is smaller than the sum of its proper divisors (33072494496).

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

13132423200 is a wasteful number, since it uses less digits than its factorization.

13132423200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1596 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 13132423200 its reverse (232423131), we get a palindrome (13364846331).

The spelling of 13132423200 in words is "thirteen billion, one hundred thirty-two million, four hundred twenty-three thousand, two hundred".