132320221311213 has 48 divisors (see below), whose sum is σ = 206575156868080. Its totient is φ = 81134106181632.

The previous prime is 132320221311199. The next prime is 132320221311221. The reversal of 132320221311213 is 312113122023231.

132320221311213 is a `hidden beast` number, since 1 + 3 + 2 + 320 + 2 + 2 + 1 + 311 + 21 + 3 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72440899933284 + 59879321377929 = 8511222^2 + 7738173^2 .

It is not a de Polignac number, because 132320221311213 - 2⁴ = 132320221311197 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132320221311233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37260081 + ... + 40656537.

Almost surely, 2^{132320221311213} is an apocalyptic number.

132320221311213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132320221311213 is a deficient number, since it is larger than the sum of its proper divisors (74254935556867).

132320221311213 is a wasteful number, since it uses less digits than its factorization.

132320221311213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397678 (or 3397675 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 132320221311213 its reverse (312113122023231), we get a palindrome (444433343334444).

The spelling of 132320221311213 in words is "one hundred thirty-two trillion, three hundred twenty billion, two hundred twenty-one million, three hundred eleven thousand, two hundred thirteen".