13333333112112 has 160 divisors (see below), whose sum is σ = 37209102840000. Its totient is φ = 4089841975296.

The previous prime is 13333333112083. The next prime is 13333333112119. The reversal of 13333333112112 is 21121133333331.

It is a super-2 number, since 2×13333333112112² (a number of 27 digits) contains 22 as substring.

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 13333333112112.

It is not an unprimeable number, because it can be changed into a prime (13333333112119) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1266338464 + ... + 1266348992.

It is an arithmetic number, because the mean of its divisors is an integer number (232556892750).

Almost surely, 2^{13333333112112} is an apocalyptic number.

13333333112112 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 13333333112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18604551420000).

13333333112112 is an abundant number, since it is smaller than the sum of its proper divisors (23875769727888).

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

13333333112112 is a wasteful number, since it uses less digits than its factorization.

13333333112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16655 (or 16649 counting only the distinct ones).

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

Adding to 13333333112112 its reverse (21121133333331), we get a palindrome (34454466445443).

The spelling of 13333333112112 in words is "thirteen trillion, three hundred thirty-three billion, three hundred thirty-three million, one hundred twelve thousand, one hundred twelve".