132133313 has 8 divisors (see below), whose sum is σ = 144422208. Its totient is φ = 120147984.

The previous prime is 132133307. The next prime is 132133357. The reversal of 132133313 is 313331231.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 132133313 - 2⁶ = 132133249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132133363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74981 + ... + 76722.

It is an arithmetic number, because the mean of its divisors is an integer number (18052776).

Almost surely, 2^132133313 is an apocalyptic number.

132133313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132133313 is a deficient number, since it is larger than the sum of its proper divisors (12288895).

132133313 is a wasteful number, since it uses less digits than its factorization.

132133313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151783.

The product of its digits is 486, while the sum is 20.

The square root of 132133313 is about 11494.9255325992. The cubic root of 132133313 is about 509.3356889531.

Adding to 132133313 its reverse (313331231), we get a palindrome (445464544).

The spelling of 132133313 in words is "one hundred thirty-two million, one hundred thirty-three thousand, three hundred thirteen".