213001212213 has 12 divisors (see below), whose sum is σ = 309733308300. Its totient is φ = 141047781696.

The previous prime is 213001212167. The next prime is 213001212227. The reversal of 213001212213 is 312212100312.

213001212213 is a `hidden beast` number, since 21 + 300 + 121 + 221 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97848219249 + 115152992964 = 312807^2 + 339342^2 .

It is not a de Polignac number, because 213001212213 - 2¹² = 213001208117 is a prime.

It is a super-3 number, since 3×213001212213³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213001212253) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79417456 + ... + 79420137.

It is an arithmetic number, because the mean of its divisors is an integer number (25811109025).

Almost surely, 2^213001212213 is an apocalyptic number.

It is an amenable number.

213001212213 is a deficient number, since it is larger than the sum of its proper divisors (96732096087).

213001212213 is a wasteful number, since it uses less digits than its factorization.

213001212213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158837748 (or 158837745 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213001212213 its reverse (312212100312), we get a palindrome (525213312525).

The spelling of 213001212213 in words is "two hundred thirteen billion, one million, two hundred twelve thousand, two hundred thirteen".