13131222013200 has 240 divisors, whose sum is σ = 42355882800000. Its totient is φ = 3477345484800.

The previous prime is 13131222013181. The next prime is 13131222013211. The reversal of 13131222013200 is 231022213131.

13131222013200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1459182301 + ... + 1459191299.

It is an arithmetic number, because the mean of its divisors is an integer number (176482845000).

Almost surely, 2^{13131222013200} is an apocalyptic number.

13131222013200 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 13131222013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21177941400000).

13131222013200 is an abundant number, since it is smaller than the sum of its proper divisors (29224660786800).

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

13131222013200 is a wasteful number, since it uses less digits than its factorization.

13131222013200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17330 (or 17319 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 13131222013200 its reverse (231022213131), we get a palindrome (13362244226331).

The spelling of 13131222013200 in words is "thirteen trillion, one hundred thirty-one billion, two hundred twenty-two million, thirteen thousand, two hundred".