13334021343144 has 96 divisors (see below), whose sum is σ = 36953973856800. Its totient is φ = 4341172671360.

The previous prime is 13334021343127. The next prime is 13334021343197. The reversal of 13334021343144 is 44134312043331.

13334021343144 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 4 + 0 + 213 + 431 + 4 + 4 = 666.

It is a super-2 number, since 2×13334021343144² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13334021343099 and 13334021343108.

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 23 ways as a sum of consecutive naturals, for example, 157516222 + ... + 157600850.

It is an arithmetic number, because the mean of its divisors is an integer number (384937227675).

Almost surely, 2^{13334021343144} is an apocalyptic number.

It is an amenable number.

13334021343144 is an abundant number, since it is smaller than the sum of its proper divisors (23619952513656).

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

13334021343144 is a wasteful number, since it uses less digits than its factorization.

13334021343144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135575 (or 135568 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 13334021343144 its reverse (44134312043331), we get a palindrome (57468333386475).

The spelling of 13334021343144 in words is "thirteen trillion, three hundred thirty-four billion, twenty-one million, three hundred forty-three thousand, one hundred forty-four".