213141224142 has 96 divisors (see below), whose sum is σ = 575856552960. Its totient is φ = 55351892160.

The previous prime is 213141224137. The next prime is 213141224201. The reversal of 213141224142 is 241422141312.

213141224142 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 412 + 241 + 4 + 2 = 666.

213141224142 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 12164484 + ... + 12181992.

It is an arithmetic number, because the mean of its divisors is an integer number (5998505760).

Almost surely, 2^213141224142 is an apocalyptic number.

213141224142 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

213141224142 is an abundant number, since it is smaller than the sum of its proper divisors (362715328818).

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

213141224142 is a wasteful number, since it uses less digits than its factorization.

213141224142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26318 (or 26315 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 213141224142 its reverse (241422141312), we get a palindrome (454563365454).

It can be divided in two parts, 21314 and 1224142, that added together give a square (1245456 = 1116²).

The spelling of 213141224142 in words is "two hundred thirteen billion, one hundred forty-one million, two hundred twenty-four thousand, one hundred forty-two".