132133414541312 has 96 divisors (see below), whose sum is σ = 265897894101840. Its totient is φ = 65643946967040.

The previous prime is 132133414541311. The next prime is 132133414541329. The reversal of 132133414541312 is 213145414331231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132133414541311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218348468 + ... + 218952780.

Almost surely, 2^{132133414541312} 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 132133414541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132948947050920).

132133414541312 is an abundant number, since it is smaller than the sum of its proper divisors (133764479560528).

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

132133414541312 is an equidigital number, since it uses as much as digits as its factorization.

132133414541312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605019 (or 604999 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

Adding to 132133414541312 its reverse (213145414331231), we get a palindrome (345278828872543).

The spelling of 132133414541312 in words is "one hundred thirty-two trillion, one hundred thirty-three billion, four hundred fourteen million, five hundred forty-one thousand, three hundred twelve".