13431424000 has 88 divisors (see below), whose sum is σ = 33508784088. Its totient is φ = 5372518400.

The previous prime is 13431423953. The next prime is 13431424001. The reversal of 13431424000 is 42413431.

It can be written as a sum of positive squares in 4 ways, for example, as 656999424 + 12774424576 = 25632^2 + 113024^2 .

It is not an unprimeable number, because it can be changed into a prime (13431424001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75534 + ... + 180466.

Almost surely, 2^13431424000 is an apocalyptic number.

13431424000 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 13431424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16754392044).

13431424000 is an abundant number, since it is smaller than the sum of its proper divisors (20077360088).

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

13431424000 is an equidigital number, since it uses as much as digits as its factorization.

13431424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104968 (or 104940 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13431424000 its reverse (42413431), we get a palindrome (13473837431).

The spelling of 13431424000 in words is "thirteen billion, four hundred thirty-one million, four hundred twenty-four thousand".