13233313113312 has 192 divisors, whose sum is σ = 37206468440064. Its totient is φ = 4103719526400.

The previous prime is 13233313113289. The next prime is 13233313113337. The reversal of 13233313113312 is 21331131333231.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13233313113312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99986893 + ... + 100119155.

It is an arithmetic number, because the mean of its divisors is an integer number (193783689792).

Almost surely, 2^{13233313113312} is an apocalyptic number.

13233313113312 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 13233313113312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18603234220032).

13233313113312 is an abundant number, since it is smaller than the sum of its proper divisors (23973155326752).

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

13233313113312 is a wasteful number, since it uses less digits than its factorization.

13233313113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133001 (or 132993 counting only the distinct ones).

The product of its digits is 8748, while the sum is 30.

Adding to 13233313113312 its reverse (21331131333231), we get a palindrome (34564444446543).

The spelling of 13233313113312 in words is "thirteen trillion, two hundred thirty-three billion, three hundred thirteen million, one hundred thirteen thousand, three hundred twelve".