213013113133320 has 192 divisors, whose sum is σ = 699156734440320. Its totient is φ = 56241349097472.

The previous prime is 213013113133253. The next prime is 213013113133391. The reversal of 213013113133320 is 23331311310312.

213013113133320 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 1 + 3 + 11 + 313 + 332 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35759277 + ... + 41288643.

It is an arithmetic number, because the mean of its divisors is an integer number (3641441325210).

Almost surely, 2^{213013113133320} is an apocalyptic number.

213013113133320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213013113133320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349578367220160).

213013113133320 is an abundant number, since it is smaller than the sum of its proper divisors (486143621307000).

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

213013113133320 is a wasteful number, since it uses less digits than its factorization.

213013113133320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5530444 (or 5530437 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 213013113133320 its reverse (23331311310312), we get a palindrome (236344424443632).

The spelling of 213013113133320 in words is "two hundred thirteen trillion, thirteen billion, one hundred thirteen million, one hundred thirty-three thousand, three hundred twenty".