132044432334100 has 288 divisors, whose sum is σ = 341941053871872. Its totient is φ = 43625433600000.

The previous prime is 132044432334091. The next prime is 132044432334109. The reversal of 132044432334100 is 1433234440231.

It is an interprime number because it is at equal distance from previous prime (132044432334091) and next prime (132044432334109).

It is a super-2 number, since 2×132044432334100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132044432334109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610087102 + ... + 610303498.

It is an arithmetic number, because the mean of its divisors is an integer number (1187295325944).

Almost surely, 2^{132044432334100} is an apocalyptic number.

132044432334100 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 132044432334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170970526935936).

132044432334100 is an abundant number, since it is smaller than the sum of its proper divisors (209896621537772).

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

132044432334100 is a wasteful number, since it uses less digits than its factorization.

132044432334100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217107 (or 217100 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 132044432334100 its reverse (1433234440231), we get a palindrome (133477666774331).

The spelling of 132044432334100 in words is "one hundred thirty-two trillion, forty-four billion, four hundred thirty-two million, three hundred thirty-four thousand, one hundred".