13431331200 has 384 divisors, whose sum is σ = 51603840000. Its totient is φ = 3069265920.

The previous prime is 13431331189. The next prime is 13431331213. The reversal of 13431331200 is 213313431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 3290761 + ... + 3294839.

It is an arithmetic number, because the mean of its divisors is an integer number (134385000).

Almost surely, 2^13431331200 is an apocalyptic number.

13431331200 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 13431331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25801920000).

13431331200 is an abundant number, since it is smaller than the sum of its proper divisors (38172508800).

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

13431331200 is an equidigital number, since it uses as much as digits as its factorization.

13431331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13431331200 its reverse (213313431), we get a palindrome (13644644631).

The spelling of 13431331200 in words is "thirteen billion, four hundred thirty-one million, three hundred thirty-one thousand, two hundred".