133012122011100 has 216 divisors, whose sum is σ = 432835227272448. Its totient is φ = 35430958180800.

The previous prime is 133012122011047. The next prime is 133012122011147. The reversal of 133012122011100 is 1110221210331.

133012122011100 is a `hidden beast` number, since 1 + 330 + 1 + 2 + 1 + 220 + 1 + 110 + 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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19133047 + ... + 25141553.

It is an arithmetic number, because the mean of its divisors is an integer number (2003866792928).

Almost surely, 2^{133012122011100} is an apocalyptic number.

133012122011100 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 133012122011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216417613636224).

133012122011100 is an abundant number, since it is smaller than the sum of its proper divisors (299823105261348).

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

133012122011100 is a wasteful number, since it uses less digits than its factorization.

133012122011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6009447 (or 6009428 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 133012122011100 its reverse (1110221210331), we get a palindrome (134122343221431).

The spelling of 133012122011100 in words is "one hundred thirty-three trillion, twelve billion, one hundred twenty-two million, eleven thousand, one hundred".