133212013100100 has 432 divisors, whose sum is σ = 459382327482624. Its totient is φ = 32285842617600.

The previous prime is 133212013100099. The next prime is 133212013100129. The reversal of 133212013100100 is 1001310212331.

133212013100100 is a `hidden beast` number, since 1 + 3 + 321 + 20 + 1 + 310 + 0 + 10 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5909229429 + ... + 5909251971.

Almost surely, 2^{133212013100100} is an apocalyptic number.

133212013100100 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 133212013100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229691163741312).

133212013100100 is an abundant number, since it is smaller than the sum of its proper divisors (326170314382524).

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

133212013100100 is a wasteful number, since it uses less digits than its factorization.

133212013100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27529 (or 27497 counting only the distinct ones).

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

Adding to 133212013100100 its reverse (1001310212331), we get a palindrome (134213323312431).

The spelling of 133212013100100 in words is "one hundred thirty-three trillion, two hundred twelve billion, thirteen million, one hundred thousand, one hundred".