133130132100 has 216 divisors, whose sum is σ = 478667641088. Its totient is φ = 30317068800.

The previous prime is 133130132039. The next prime is 133130132111. The reversal of 133130132100 is 1231031331.

It is a happy number.

133130132100 is a `hidden beast` number, since 1 + 331 + 301 + 32 + 1 + 0 + 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 71 ways as a sum of consecutive naturals, for example, 1668312 + ... + 1746288.

Almost surely, 2^133130132100 is an apocalyptic number.

133130132100 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 133130132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239333820544).

133130132100 is an abundant number, since it is smaller than the sum of its proper divisors (345537508988).

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

133130132100 is a wasteful number, since it uses less digits than its factorization.

133130132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78275 (or 78265 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 133130132100 its reverse (1231031331), we get a palindrome (134361163431).

The spelling of 133130132100 in words is "one hundred thirty-three billion, one hundred thirty million, one hundred thirty-two thousand, one hundred".