133205130300 has 288 divisors, whose sum is σ = 446956392960. Its totient is φ = 30271078400.

The previous prime is 133205130263. The next prime is 133205130301. The reversal of 133205130300 is 3031502331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133205130301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14413081 + ... + 14422319.

It is an arithmetic number, because the mean of its divisors is an integer number (1551931920).

Almost surely, 2^133205130300 is an apocalyptic number.

133205130300 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 133205130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223478196480).

133205130300 is an abundant number, since it is smaller than the sum of its proper divisors (313751262660).

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

133205130300 is a wasteful number, since it uses less digits than its factorization.

133205130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9541 (or 9534 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

Adding to 133205130300 its reverse (3031502331), we get a palindrome (136236632631).

The spelling of 133205130300 in words is "one hundred thirty-three billion, two hundred five million, one hundred thirty thousand, three hundred".