133302021332100 has 144 divisors (see below), whose sum is σ = 396129476049216. Its totient is φ = 34584871104000.

The previous prime is 133302021332083. The next prime is 133302021332101. The reversal of 133302021332100 is 1233120203331.

It is not an unprimeable number, because it can be changed into a prime (133302021332101) 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, 249938715 + ... + 250471485.

Almost surely, 2^{133302021332100} is an apocalyptic number.

133302021332100 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 133302021332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198064738024608).

133302021332100 is an abundant number, since it is smaller than the sum of its proper divisors (262827454717116).

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

133302021332100 is a wasteful number, since it uses less digits than its factorization.

133302021332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555366 (or 555359 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133302021332100 its reverse (1233120203331), we get a palindrome (134535141535431).

The spelling of 133302021332100 in words is "one hundred thirty-three trillion, three hundred two billion, twenty-one million, three hundred thirty-two thousand, one hundred".