133120113300 has 432 divisors, whose sum is σ = 457978156272. Its totient is φ = 32204390400.

The previous prime is 133120113281. The next prime is 133120113331. The reversal of 133120113300 is 3311021331.

It is a happy number.

133120113300 is a `hidden beast` number, since 1 + 331 + 2 + 0 + 1 + 1 + 330 + 0 = 666.

133120113300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 86725538064 + 46394575236 = 294492^2 + 215394^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 63968260 + ... + 63970340.

It is an arithmetic number, because the mean of its divisors is an integer number (1060134621).

Almost surely, 2^133120113300 is an apocalyptic number.

133120113300 is a gapful number since it is divisible by the number (10) 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 133120113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228989078136).

133120113300 is an abundant number, since it is smaller than the sum of its proper divisors (324858042972).

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

133120113300 is a wasteful number, since it uses less digits than its factorization.

133120113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133120113300 its reverse (3311021331), we get a palindrome (136431134631).

The spelling of 133120113300 in words is "one hundred thirty-three billion, one hundred twenty million, one hundred thirteen thousand, three hundred".