132313310332224 has 224 divisors, whose sum is σ = 409378330848000. Its totient is φ = 36934507560960.

The previous prime is 132313310332223. The next prime is 132313310332237. The reversal of 132313310332224 is 422233013313231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132313310332223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6799872 + ... + 17631360.

Almost surely, 2^{132313310332224} is an apocalyptic number.

132313310332224 is a gapful number since it is divisible by the number (14) 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 132313310332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204689165424000).

132313310332224 is an abundant number, since it is smaller than the sum of its proper divisors (277065020515776).

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

132313310332224 is a wasteful number, since it uses less digits than its factorization.

132313310332224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10831721 (or 10831711 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 33.

Adding to 132313310332224 its reverse (422233013313231), we get a palindrome (554546323645455).

The spelling of 132313310332224 in words is "one hundred thirty-two trillion, three hundred thirteen billion, three hundred ten million, three hundred thirty-two thousand, two hundred twenty-four".