133310112 has 96 divisors (see below), whose sum is σ = 387176832. Its totient is φ = 39896064.

The previous prime is 133310083. The next prime is 133310159. The reversal of 133310112 is 211013331.

133310112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×133310112² = 35543171922905088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133310091 and 133310100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44733 + ... + 47619.

It is an arithmetic number, because the mean of its divisors is an integer number (4033092).

Almost surely, 2^133310112 is an apocalyptic number.

133310112 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 133310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193588416).

133310112 is an abundant number, since it is smaller than the sum of its proper divisors (253866720).

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

133310112 is a wasteful number, since it uses less digits than its factorization.

With its successor (133310113) it forms an eRAP, since the sums of their prime factors are consecutive (2950 and 2951).

133310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2950 (or 2942 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 133310112 is about 11545.9998267798. Note that the first 3 decimals coincide. The cubic root of 133310112 is about 510.8432953292.

Adding to 133310112 its reverse (211013331), we get a palindrome (344323443).

The spelling of 133310112 in words is "one hundred thirty-three million, three hundred ten thousand, one hundred twelve".