213120206136 has 80 divisors (see below), whose sum is σ = 597007659600. Its totient is φ = 71031292416.

The previous prime is 213120206113. The next prime is 213120206147. The reversal of 213120206136 is 631602021312.

213120206136 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 20 + 20 + 613 + 6 = 666.

213120206136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213120206136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7216296 + ... + 7245768.

It is an arithmetic number, because the mean of its divisors is an integer number (7462595745).

Almost surely, 2^213120206136 is an apocalyptic number.

It is an amenable number.

213120206136 is an abundant number, since it is smaller than the sum of its proper divisors (383887453464).

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

213120206136 is a wasteful number, since it uses less digits than its factorization.

213120206136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40650 (or 40637 counting only the distinct ones).

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

Adding to 213120206136 its reverse (631602021312), we get a palindrome (844722227448).

The spelling of 213120206136 in words is "two hundred thirteen billion, one hundred twenty million, two hundred six thousand, one hundred thirty-six".