133113300233112 has 192 divisors, whose sum is σ = 391076614656000. Its totient is φ = 42338146017024.

The previous prime is 133113300233099. The next prime is 133113300233119. The reversal of 133113300233112 is 211332003311331.

133113300233112 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 13 + 300 + 2 + 331 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133113300233119) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14647689 + ... + 21926727.

It is an arithmetic number, because the mean of its divisors is an integer number (2036857368000).

Almost surely, 2^{133113300233112} is an apocalyptic number.

133113300233112 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 133113300233112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195538307328000).

133113300233112 is an abundant number, since it is smaller than the sum of its proper divisors (257963314422888).

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

133113300233112 is a wasteful number, since it uses less digits than its factorization.

133113300233112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7279492 (or 7279476 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 133113300233112 its reverse (211332003311331), we get a palindrome (344445303544443).

The spelling of 133113300233112 in words is "one hundred thirty-three trillion, one hundred thirteen billion, three hundred million, two hundred thirty-three thousand, one hundred twelve".