133321321103112 has 96 divisors (see below), whose sum is σ = 363495831828480. Its totient is φ = 44142974323200.

The previous prime is 133321321103099. The next prime is 133321321103119. The reversal of 133321321103112 is 211301123123331.

133321321103112 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 21 + 321 + 1 + 0 + 311 + 2 = 666.

It is a super-2 number, since 2×133321321103112² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133321321103119) 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, 154026928 + ... + 154890080.

It is an arithmetic number, because the mean of its divisors is an integer number (3786414914880).

Almost surely, 2^{133321321103112} is an apocalyptic number.

133321321103112 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 133321321103112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181747915914240).

133321321103112 is an abundant number, since it is smaller than the sum of its proper divisors (230174510725368).

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

133321321103112 is a wasteful number, since it uses less digits than its factorization.

133321321103112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877523 (or 877516 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 133321321103112 its reverse (211301123123331), we get a palindrome (344622444226443).

The spelling of 133321321103112 in words is "one hundred thirty-three trillion, three hundred twenty-one billion, three hundred twenty-one million, one hundred three thousand, one hundred twelve".