13353521230016 has 112 divisors (see below), whose sum is σ = 29625954301440. Its totient is φ = 5920743429120.

The previous prime is 13353521229977. The next prime is 13353521230033. The reversal of 13353521230016 is 61003212535331.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3169730 + ... + 6062526.

It is an arithmetic number, because the mean of its divisors is an integer number (264517449120).

Almost surely, 2^{13353521230016} is an apocalyptic number.

13353521230016 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 13353521230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14812977150720).

13353521230016 is an abundant number, since it is smaller than the sum of its proper divisors (16272433071424).

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

13353521230016 is a wasteful number, since it uses less digits than its factorization.

13353521230016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892982 (or 2892972 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

Adding to 13353521230016 its reverse (61003212535331), we get a palindrome (74356733765347).

The spelling of 13353521230016 in words is "thirteen trillion, three hundred fifty-three billion, five hundred twenty-one million, two hundred thirty thousand, sixteen".