213120201330213 has 32 divisors (see below), whose sum is σ = 305990669952000. Its totient is φ = 131449334935296.

The previous prime is 213120201330203. The next prime is 213120201330233. The reversal of 213120201330213 is 312033102021312.

It is not a de Polignac number, because 213120201330213 - 2⁵ = 213120201330181 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120201330203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57922888 + ... + 61492286.

It is an arithmetic number, because the mean of its divisors is an integer number (9562208436000).

Almost surely, 2^{213120201330213} is an apocalyptic number.

It is an amenable number.

213120201330213 is a deficient number, since it is larger than the sum of its proper divisors (92870468621787).

213120201330213 is a wasteful number, since it uses less digits than its factorization.

213120201330213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3589321.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213120201330213 its reverse (312033102021312), we get a palindrome (525153303351525).

The spelling of 213120201330213 in words is "two hundred thirteen trillion, one hundred twenty billion, two hundred one million, three hundred thirty thousand, two hundred thirteen".