133131100202100 has 1728 divisors, whose sum is σ = 584021125588992. Its totient is φ = 24474244608000.

The previous prime is 133131100202077. The next prime is 133131100202117. The reversal of 133131100202100 is 1202001131331.

133131100202100 is a `hidden beast` number, since 1 + 331 + 3 + 1 + 100 + 20 + 210 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 2233301295 + ... + 2233360905.

Almost surely, 2^{133131100202100} is an apocalyptic number.

133131100202100 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 133131100202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292010562794496).

133131100202100 is an abundant number, since it is smaller than the sum of its proper divisors (450890025386892).

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

133131100202100 is a wasteful number, since it uses less digits than its factorization.

133131100202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59766 (or 59756 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133131100202100 its reverse (1202001131331), we get a palindrome (134333101333431).

The spelling of 133131100202100 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, one hundred million, two hundred two thousand, one hundred".