133133143300 has 72 divisors (see below), whose sum is σ = 294646907016. Its totient is φ = 52195752960.

The previous prime is 133133143289. The next prime is 133133143303. The reversal of 133133143300 is 3341331331.

It can be written as a sum of positive squares in 12 ways, for example, as 102252544 + 133030890756 = 10112^2 + 364734^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (133133143303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5462742 + ... + 5487058.

It is an arithmetic number, because the mean of its divisors is an integer number (4092318153).

Almost surely, 2^133133143300 is an apocalyptic number.

133133143300 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 133133143300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147323453508).

133133143300 is an abundant number, since it is smaller than the sum of its proper divisors (161513763716).

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

133133143300 is a wasteful number, since it uses less digits than its factorization.

133133143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25417 (or 25410 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 133133143300 its reverse (3341331331), we get a palindrome (136474474631).

The spelling of 133133143300 in words is "one hundred thirty-three billion, one hundred thirty-three million, one hundred forty-three thousand, three hundred".