133201320 has 64 divisors (see below), whose sum is σ = 456693120. Its totient is φ = 30445824.

The previous prime is 133201319. The next prime is 133201331. The reversal of 133201320 is 23102331.

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 133201320.

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, 78447 + ... + 80126.

It is an arithmetic number, because the mean of its divisors is an integer number (7135830).

Almost surely, 2^133201320 is an apocalyptic number.

133201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133201320 is an abundant number, since it is smaller than the sum of its proper divisors (323491800).

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

133201320 is a wasteful number, since it uses less digits than its factorization.

133201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158594 (or 158590 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 133201320 is about 11541.2876231381. The cubic root of 133201320 is about 510.7042941489.

Adding to 133201320 its reverse (23102331), we get a palindrome (156303651).

The spelling of 133201320 in words is "one hundred thirty-three million, two hundred one thousand, three hundred twenty".