213121203333012 has 72 divisors (see below), whose sum is σ = 580280795353896. Its totient is φ = 65562471650304.

The previous prime is 213121203332929. The next prime is 213121203333019. The reversal of 213121203333012 is 210333302121312.

213121203333012 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 1 + 20 + 333 + 301 + 2 = 666.

213121203333012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10531413905796 + 202589789427216 = 3245214^2 + 14233404^2 .

It is a super-2 number, since 2×213121203333012² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213121203333019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43809313 + ... + 48430344.

Almost surely, 2^{213121203333012} is an apocalyptic number.

It is an amenable number.

213121203333012 is an abundant number, since it is smaller than the sum of its proper divisors (367159592020884).

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

213121203333012 is a wasteful number, since it uses less digits than its factorization.

213121203333012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92244617 (or 92244612 counting only the distinct ones).

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

Adding to 213121203333012 its reverse (210333302121312), we get a palindrome (423454505454324).

The spelling of 213121203333012 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred three million, three hundred thirty-three thousand, twelve".