13000431444000 has 1536 divisors, whose sum is σ = 58730482556928. Its totient is φ = 2426112000000.

The previous prime is 13000431443969. The next prime is 13000431444067. The reversal of 13000431444000 is 44413400031.

It is a super-2 number, since 2×13000431444000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 444429375 + ... + 444458625.

It is an arithmetic number, because the mean of its divisors is an integer number (38235991248).

Almost surely, 2^{13000431444000} is an apocalyptic number.

13000431444000 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 13000431444000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29365241278464).

13000431444000 is an abundant number, since it is smaller than the sum of its proper divisors (45730051112928).

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

13000431444000 is a wasteful number, since it uses less digits than its factorization.

13000431444000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29347 (or 29329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13000431444000 its reverse (44413400031), we get a palindrome (13044844844031).

It can be divided in two parts, 13000431 and 444000, that added together give a palindrome (13444431).

The spelling of 13000431444000 in words is "thirteen trillion, four hundred thirty-one million, four hundred forty-four thousand".