13434333000000 has 784 divisors, whose sum is σ = 48797379135552. Its totient is φ = 3234816000000.

The previous prime is 13434332999887. The next prime is 13434333000007. The reversal of 13434333000000 is 33343431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434333000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5180998704 + ... + 5181001296.

Almost surely, 2^{13434333000000} is an apocalyptic number.

13434333000000 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 13434333000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24398689567776).

13434333000000 is an abundant number, since it is smaller than the sum of its proper divisors (35363046135552).

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

13434333000000 is an equidigital number, since it uses as much as digits as its factorization.

13434333000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 13434333000000 its reverse (33343431), we get a palindrome (13434366343431).

The spelling of 13434333000000 in words is "thirteen trillion, four hundred thirty-four billion, three hundred thirty-three million", and thus it is an aban number.