213313122013320 has 144 divisors (see below), whose sum is σ = 806454201147660. Its totient is φ = 48757285027584.

The previous prime is 213313122013249. The next prime is 213313122013379. The reversal of 213313122013320 is 23310221313312.

213313122013320 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 1 + 312 + 20 + 1 + 3 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 200608074849924 + 12705047163396 = 14163618^2 + 3564414^2 .

It is a super-3 number, since 3×213313122013320³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6046272667 + ... + 6046307946.

Almost surely, 2^{213313122013320} is an apocalyptic number.

213313122013320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213313122013320 is an abundant number, since it is smaller than the sum of its proper divisors (593141079134340).

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

213313122013320 is a wasteful number, since it uses less digits than its factorization.

213313122013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12092580644 (or 12092580630 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 213313122013320 its reverse (23310221313312), we get a palindrome (236623343326632).

The spelling of 213313122013320 in words is "two hundred thirteen trillion, three hundred thirteen billion, one hundred twenty-two million, thirteen thousand, three hundred twenty".