13311112203312 has 240 divisors, whose sum is σ = 43641784425600. Its totient is φ = 3457110343680.

The previous prime is 13311112203269. The next prime is 13311112203317. The reversal of 13311112203312 is 21330221111331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13311112203317) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 422706864 + ... + 422738352.

It is an arithmetic number, because the mean of its divisors is an integer number (181840768440).

Almost surely, 2^{13311112203312} is an apocalyptic number.

13311112203312 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 13311112203312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21820892212800).

13311112203312 is an abundant number, since it is smaller than the sum of its proper divisors (30330672222288).

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

13311112203312 is a wasteful number, since it uses less digits than its factorization.

13311112203312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47864 (or 47851 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 13311112203312 its reverse (21330221111331), we get a palindrome (34641333314643).

The spelling of 13311112203312 in words is "thirteen trillion, three hundred eleven billion, one hundred twelve million, two hundred three thousand, three hundred twelve".