133100132320320 has 448 divisors, whose sum is σ = 469772920995840. Its totient is φ = 31658032742400.

The previous prime is 133100132320319. The next prime is 133100132320339. The reversal of 133100132320320 is 23023231001331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 146786091 + ... + 147690069.

It is an arithmetic number, because the mean of its divisors is an integer number (1048600270080).

Almost surely, 2^{133100132320320} is an apocalyptic number.

133100132320320 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 133100132320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234886460497920).

133100132320320 is an abundant number, since it is smaller than the sum of its proper divisors (336672788675520).

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

133100132320320 is a wasteful number, since it uses less digits than its factorization.

133100132320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904274 (or 904264 counting only the distinct ones).

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

Adding to 133100132320320 its reverse (23023231001331), we get a palindrome (156123363321651).

The spelling of 133100132320320 in words is "one hundred thirty-three trillion, one hundred billion, one hundred thirty-two million, three hundred twenty thousand, three hundred twenty".