213020133012 has 192 divisors, whose sum is σ = 602233632000. Its totient is φ = 64858558464.

The previous prime is 213020132981. The next prime is 213020133013. The reversal of 213020133012 is 210331020312.

213020133012 is a `hidden beast` number, since 2 + 130 + 201 + 330 + 1 + 2 = 666.

213020133012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213020133013) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 50996268 + ... + 51000444.

It is an arithmetic number, because the mean of its divisors is an integer number (3136633500).

Almost surely, 2^213020133012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213020133012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301116816000).

213020133012 is an abundant number, since it is smaller than the sum of its proper divisors (389213498988).

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

213020133012 is a wasteful number, since it uses less digits than its factorization.

213020133012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5095 (or 5087 counting only the distinct ones).

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

Adding to 213020133012 its reverse (210331020312), we get a palindrome (423351153324).

The spelling of 213020133012 in words is "two hundred thirteen billion, twenty million, one hundred thirty-three thousand, twelve".