133441414143100 has 144 divisors (see below), whose sum is σ = 342383611046400. Its totient is φ = 44168888574720.

The previous prime is 133441414143073. The next prime is 133441414143113. The reversal of 133441414143100 is 1341414144331.

It is a super-2 number, since 2×133441414143100² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 188090841 + ... + 188798959.

It is an arithmetic number, because the mean of its divisors is an integer number (2377663965600).

Almost surely, 2^{133441414143100} is an apocalyptic number.

133441414143100 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 133441414143100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171191805523200).

133441414143100 is an abundant number, since it is smaller than the sum of its proper divisors (208942196903300).

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

133441414143100 is a wasteful number, since it uses less digits than its factorization.

133441414143100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717452 (or 717445 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

Adding to 133441414143100 its reverse (1341414144331), we get a palindrome (134782828287431).

The spelling of 133441414143100 in words is "one hundred thirty-three trillion, four hundred forty-one billion, four hundred fourteen million, one hundred forty-three thousand, one hundred".