133043331314432 has 288 divisors, whose sum is σ = 350867643840000. Its totient is φ = 48826965196800.

The previous prime is 133043331314393. The next prime is 133043331314477. The reversal of 133043331314432 is 234413133340331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20599319 + ... + 26275817.

It is an arithmetic number, because the mean of its divisors is an integer number (1218290430000).

Almost surely, 2^{133043331314432} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133043331314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175433821920000).

133043331314432 is an abundant number, since it is smaller than the sum of its proper divisors (217824312525568).

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

133043331314432 is a wasteful number, since it uses less digits than its factorization.

133043331314432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5676603 (or 5676589 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 38.

Adding to 133043331314432 its reverse (234413133340331), we get a palindrome (367456464654763).

The spelling of 133043331314432 in words is "one hundred thirty-three trillion, forty-three billion, three hundred thirty-one million, three hundred fourteen thousand, four hundred thirty-two".