133001013230100 has 216 divisors, whose sum is σ = 439139315160000. Its totient is φ = 33576232596480.

The previous prime is 133001013230069. The next prime is 133001013230179. The reversal of 133001013230100 is 1032310100331.

It is a happy number.

133001013230100 is a `hidden beast` number, since 1 + 330 + 0 + 1 + 0 + 1 + 3 + 230 + 100 = 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21143116 + ... + 26702684.

It is an arithmetic number, because the mean of its divisors is an integer number (2033052385000).

Almost surely, 2^{133001013230100} is an apocalyptic number.

133001013230100 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 133001013230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219569657580000).

133001013230100 is an abundant number, since it is smaller than the sum of its proper divisors (306138301929900).

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

133001013230100 is a wasteful number, since it uses less digits than its factorization.

133001013230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561007 (or 5560997 counting only the distinct ones).

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

Adding to 133001013230100 its reverse (1032310100331), we get a palindrome (134033323330431).

The spelling of 133001013230100 in words is "one hundred thirty-three trillion, one billion, thirteen million, two hundred thirty thousand, one hundred".