13131000331200 has 504 divisors, whose sum is σ = 48610898998480. Its totient is φ = 3486285619200.

The previous prime is 13131000331159. The next prime is 13131000331219. The reversal of 13131000331200 is 213300013131.

It is a happy number.

13131000331200 is a `hidden beast` number, since 1 + 3 + 1 + 310 + 0 + 0 + 331 + 20 + 0 = 666.

13131000331200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88961460 + ... + 89108940.

Almost surely, 2^{13131000331200} is an apocalyptic number.

13131000331200 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 13131000331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24305449499240).

13131000331200 is an abundant number, since it is smaller than the sum of its proper divisors (35479898667280).

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

13131000331200 is a wasteful number, since it uses less digits than its factorization.

13131000331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147747 (or 147720 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13131000331200 its reverse (213300013131), we get a palindrome (13344300344331).

The spelling of 13131000331200 in words is "thirteen trillion, one hundred thirty-one billion, three hundred thirty-one thousand, two hundred".