13334234540000 has 480 divisors, whose sum is σ = 36276458692320. Its totient is φ = 4782694400000.

The previous prime is 13334234539919. The next prime is 13334234540069. The reversal of 13334234540000 is 4543243331.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 15135339560 + ... + 15135340440.

It is an arithmetic number, because the mean of its divisors is an integer number (75575955609).

Almost surely, 2^{13334234540000} is an apocalyptic number.

13334234540000 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 13334234540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138229346160).

13334234540000 is an abundant number, since it is smaller than the sum of its proper divisors (22942224152320).

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

13334234540000 is an equidigital number, since it uses as much as digits as its factorization.

13334234540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 13334234540000 its reverse (4543243331), we get a palindrome (13338777783331).

The spelling of 13334234540000 in words is "thirteen trillion, three hundred thirty-four billion, two hundred thirty-four million, five hundred forty thousand".