133434231100000 has 144 divisors (see below), whose sum is σ = 332508664958400. Its totient is φ = 52698072960000.

The previous prime is 133434231099991. The next prime is 133434231100019. The reversal of 133434231100000 is 1132434331.

It is a Harshad number since it is a multiple of its sum of digits (25).

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 23 ways as a sum of consecutive naturals, for example, 545205 + ... + 16345204.

It is an arithmetic number, because the mean of its divisors is an integer number (2309087951100).

Almost surely, 2^{133434231100000} is an apocalyptic number.

133434231100000 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 133434231100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166254332479200).

133434231100000 is an abundant number, since it is smaller than the sum of its proper divisors (199074433858400).

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

133434231100000 is an frugal number, since it uses more digits than its factorization.

133434231100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16890523 (or 16890495 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 133434231100000 its reverse (1132434331), we get a palindrome (133435363534331).

The spelling of 133434231100000 in words is "one hundred thirty-three trillion, four hundred thirty-four billion, two hundred thirty-one million, one hundred thousand".