13133442224016 has 240 divisors, whose sum is σ = 38766485571840. Its totient is φ = 4139202263040.

The previous prime is 13133442223991. The next prime is 13133442224057. The reversal of 13133442224016 is 61042224433131.

13133442224016 is a `hidden beast` number, since 1 + 31 + 334 + 42 + 2 + 240 + 16 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3854838985 + ... + 3854842391.

It is an arithmetic number, because the mean of its divisors is an integer number (161527023216).

Almost surely, 2^{13133442224016} is an apocalyptic number.

13133442224016 is a gapful number since it is divisible by the number (16) 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 13133442224016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19383242785920).

13133442224016 is an abundant number, since it is smaller than the sum of its proper divisors (25633043347824).

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

13133442224016 is a wasteful number, since it uses less digits than its factorization.

13133442224016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5814 (or 5805 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 13133442224016 its reverse (61042224433131), we get a palindrome (74175666657147).

The spelling of 13133442224016 in words is "thirteen trillion, one hundred thirty-three billion, four hundred forty-two million, two hundred twenty-four thousand, sixteen".