13131131200 has 336 divisors, whose sum is σ = 36430793280. Its totient is φ = 4618240000.

The previous prime is 13131131171. The next prime is 13131131203. The reversal of 13131131200 is 213113131.

It is a super-2 number, since 2×13131131200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131131203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130011150 + ... + 130011250.

It is an arithmetic number, because the mean of its divisors is an integer number (108424980).

Almost surely, 2^13131131200 is an apocalyptic number.

13131131200 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 13131131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18215396640).

13131131200 is an abundant number, since it is smaller than the sum of its proper divisors (23299662080).

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

13131131200 is a wasteful number, since it uses less digits than its factorization.

13131131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 13131131200 its reverse (213113131), we get a palindrome (13344244331).

The spelling of 13131131200 in words is "thirteen billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred".