133131322232100 has 576 divisors, whose sum is σ = 434762893393920. Its totient is φ = 34945802611200.

The previous prime is 133131322232053. The next prime is 133131322232197. The reversal of 133131322232100 is 1232223131331.

133131322232100 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 3 + 1 + 322 + 232 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22016091277 + ... + 22016097323.

It is an arithmetic number, because the mean of its divisors is an integer number (754796689920).

Almost surely, 2^{133131322232100} is an apocalyptic number.

133131322232100 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 133131322232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217381446696960).

133131322232100 is an abundant number, since it is smaller than the sum of its proper divisors (301631571161820).

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

133131322232100 is a wasteful number, since it uses less digits than its factorization.

133131322232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 6692 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 133131322232100 its reverse (1232223131331), we get a palindrome (134363545363431).

The spelling of 133131322232100 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, three hundred twenty-two million, two hundred thirty-two thousand, one hundred".