133301133103200 has 288 divisors, whose sum is σ = 438840917696160. Its totient is φ = 35142578995200.

The previous prime is 133301133103163. The next prime is 133301133103207. The reversal of 133301133103200 is 2301331103331.

133301133103200 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133301133103207) 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, 215963020 + ... + 216579380.

It is an arithmetic number, because the mean of its divisors is an integer number (1523753186445).

Almost surely, 2^{133301133103200} is an apocalyptic number.

133301133103200 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 133301133103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219420458848080).

133301133103200 is an abundant number, since it is smaller than the sum of its proper divisors (305539784592960).

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

133301133103200 is a wasteful number, since it uses less digits than its factorization.

133301133103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617410 (or 617397 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 133301133103200 its reverse (2301331103331), we get a palindrome (135602464206531).

The spelling of 133301133103200 in words is "one hundred thirty-three trillion, three hundred one billion, one hundred thirty-three million, one hundred three thousand, two hundred".