132002300110320 has 640 divisors, whose sum is σ = 498369443385600. Its totient is φ = 31965186097152.

The previous prime is 132002300110309. The next prime is 132002300110391. The reversal of 132002300110320 is 23011003200231.

132002300110320 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 0 + 230 + 0 + 110 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132002300110293 and 132002300110302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1547227984 + ... + 1547313296.

It is an arithmetic number, because the mean of its divisors is an integer number (778702255290).

Almost surely, 2^{132002300110320} is an apocalyptic number.

132002300110320 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 132002300110320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249184721692800).

132002300110320 is an abundant number, since it is smaller than the sum of its proper divisors (366367143275280).

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

132002300110320 is a wasteful number, since it uses less digits than its factorization.

132002300110320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86834 (or 86822 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132002300110320 its reverse (23011003200231), we get a palindrome (155013303310551).

The spelling of 132002300110320 in words is "one hundred thirty-two trillion, two billion, three hundred million, one hundred ten thousand, three hundred twenty".