13231413200000 has 192 divisors, whose sum is σ = 32958680509440. Its totient is φ = 5290723200000.

The previous prime is 13231413199973. The next prime is 13231413200051. The reversal of 13231413200000 is 231413231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2201196995 + ... + 2201203005.

It is an arithmetic number, because the mean of its divisors is an integer number (171659794320).

Almost surely, 2^{13231413200000} is an apocalyptic number.

13231413200000 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 13231413200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16479340254720).

13231413200000 is an abundant number, since it is smaller than the sum of its proper divisors (19727267309440).

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

13231413200000 is an frugal number, since it uses more digits than its factorization.

13231413200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11553 (or 11521 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13231413200000 its reverse (231413231), we get a palindrome (13231644613231).

The spelling of 13231413200000 in words is "thirteen trillion, two hundred thirty-one billion, four hundred thirteen million, two hundred thousand".