132311320041432 has 256 divisors, whose sum is σ = 392180955217920. Its totient is φ = 36412874265600.

The previous prime is 132311320041427. The next prime is 132311320041437. The reversal of 132311320041432 is 234140023113231.

It is an interprime number because it is at equal distance from previous prime (132311320041427) and next prime (132311320041437).

It is a super-2 number, since 2×132311320041432² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132311320041432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132311320041437) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4657031307 + ... + 4657059717.

It is an arithmetic number, because the mean of its divisors is an integer number (1531956856320).

Almost surely, 2^{132311320041432} is an apocalyptic number.

132311320041432 is a gapful number since it is divisible by the number (12) 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 132311320041432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196090477608960).

132311320041432 is an abundant number, since it is smaller than the sum of its proper divisors (259869635176488).

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

132311320041432 is a wasteful number, since it uses less digits than its factorization.

132311320041432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37374 (or 37370 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 132311320041432 its reverse (234140023113231), we get a palindrome (366451343154663).

The spelling of 132311320041432 in words is "one hundred thirty-two trillion, three hundred eleven billion, three hundred twenty million, forty-one thousand, four hundred thirty-two".