13330231322112 has 240 divisors, whose sum is σ = 39420782386128. Its totient is φ = 4334107115520.

The previous prime is 13330231322017. The next prime is 13330231322113. The reversal of 13330231322112 is 21122313203331.

13330231322112 is a `hidden beast` number, since 1 + 3 + 3 + 302 + 31 + 322 + 1 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330231322113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 145193662 + ... + 145285442.

Almost surely, 2^{13330231322112} is an apocalyptic number.

13330231322112 is a gapful number since it is divisible by the number (12) 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 13330231322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710391193064).

13330231322112 is an abundant number, since it is smaller than the sum of its proper divisors (26090551064016).

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

13330231322112 is an equidigital number, since it uses as much as digits as its factorization.

13330231322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92581 (or 92562 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 13330231322112 its reverse (21122313203331), we get a palindrome (34452544525443).

The spelling of 13330231322112 in words is "thirteen trillion, three hundred thirty billion, two hundred thirty-one million, three hundred twenty-two thousand, one hundred twelve".