133103332332300 has 288 divisors, whose sum is σ = 423478175662080. Its totient is φ = 32009800838400.

The previous prime is 133103332332281. The next prime is 133103332332343. The reversal of 133103332332300 is 3233233301331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7035422241 + ... + 7035441159.

It is an arithmetic number, because the mean of its divisors is an integer number (1470410332160).

Almost surely, 2^{133103332332300} is an apocalyptic number.

133103332332300 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 133103332332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211739087831040).

133103332332300 is an abundant number, since it is smaller than the sum of its proper divisors (290374843329780).

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

133103332332300 is a wasteful number, since it uses less digits than its factorization.

133103332332300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35861 (or 35854 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 30.

Adding to 133103332332300 its reverse (3233233301331), we get a palindrome (136336565633631).

The spelling of 133103332332300 in words is "one hundred thirty-three trillion, one hundred three billion, three hundred thirty-two million, three hundred thirty-two thousand, three hundred".