132201100320 has 96 divisors (see below), whose sum is σ = 416497189248. Its totient is φ = 35248232448.

The previous prime is 132201100319. The next prime is 132201100363. The reversal of 132201100320 is 23001102231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×132201100320³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132201100320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3864732 + ... + 3898788.

It is an arithmetic number, because the mean of its divisors is an integer number (4338512388).

Almost surely, 2^132201100320 is an apocalyptic number.

132201100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132201100320 is an abundant number, since it is smaller than the sum of its proper divisors (284296088928).

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

132201100320 is a wasteful number, since it uses less digits than its factorization.

132201100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42162 (or 42154 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 132201100320 its reverse (23001102231), we get a palindrome (155202202551).

The spelling of 132201100320 in words is "one hundred thirty-two billion, two hundred one million, one hundred thousand, three hundred twenty".