132302313310200 has 384 divisors, whose sum is σ = 448158953848320. Its totient is φ = 32020524851200.

The previous prime is 132302313310187. The next prime is 132302313310217. The reversal of 132302313310200 is 2013313203231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15707263189 + ... + 15707271611.

It is an arithmetic number, because the mean of its divisors is an integer number (1167080608980).

Almost surely, 2^{132302313310200} is an apocalyptic number.

132302313310200 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 132302313310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224079476924160).

132302313310200 is an abundant number, since it is smaller than the sum of its proper divisors (315856640538120).

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

132302313310200 is a wasteful number, since it uses less digits than its factorization.

132302313310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12087 (or 12078 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 132302313310200 its reverse (2013313203231), we get a palindrome (134315626513431).

The spelling of 132302313310200 in words is "one hundred thirty-two trillion, three hundred two billion, three hundred thirteen million, three hundred ten thousand, two hundred".