213132320000001 has 12 divisors (see below), whose sum is σ = 316178276517012. Its totient is φ = 138247991351136.

The previous prime is 213132319999957. The next prime is 213132320000011. The reversal of 213132320000001 is 100000023231312.

213132320000001 is a `hidden beast` number, since 213 + 132 + 320 + 0 + 0 + 0 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 116464587599376 + 96667732400625 = 10791876^2 + 9831975^2 .

It is not a de Polignac number, because 213132320000001 - 2⁷ = 213132319999873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213132320000011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 320018498166 + ... + 320018498831.

It is an arithmetic number, because the mean of its divisors is an integer number (26348189709751).

Almost surely, 2^{213132320000001} is an apocalyptic number.

It is an amenable number.

213132320000001 is a deficient number, since it is larger than the sum of its proper divisors (103045956517011).

213132320000001 is a wasteful number, since it uses less digits than its factorization.

213132320000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640036997040 (or 640036997037 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213132320000001 its reverse (100000023231312), we get a palindrome (313132343231313).

The spelling of 213132320000001 in words is "two hundred thirteen trillion, one hundred thirty-two billion, three hundred twenty million, one", and thus it is an aban number.