13131232200 has 144 divisors (see below), whose sum is σ = 44536295700. Its totient is φ = 3466944000.

The previous prime is 13131232187. The next prime is 13131232201. The reversal of 13131232200 is 223213131.

13131232200 is a `hidden beast` number, since 1 + 31 + 312 + 322 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5932388484 + 7198843716 = 77022^2 + 84846^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13131232201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 145686 + ... + 217914.

Almost surely, 2^13131232200 is an apocalyptic number.

13131232200 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 13131232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22268147850).

13131232200 is an abundant number, since it is smaller than the sum of its proper divisors (31405063500).

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

13131232200 is a wasteful number, since it uses less digits than its factorization.

13131232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72352 (or 72340 counting only the distinct ones).

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

Adding to 13131232200 its reverse (223213131), we get a palindrome (13354445331).

The spelling of 13131232200 in words is "thirteen billion, one hundred thirty-one million, two hundred thirty-two thousand, two hundred".