213141220253 has 8 divisors (see below), whose sum is σ = 230365354968. Its totient is φ = 196035465024.

The previous prime is 213141220231. The next prime is 213141220283. The reversal of 213141220253 is 352022141312.

213141220253 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 12914504164 + 200226716089 = 113642^2 + 447467^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 213141220253 - 2⁸ = 213141219997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213141220283) 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 7 ways as a sum of consecutive naturals, for example, 29591126 + ... + 29598327.

It is an arithmetic number, because the mean of its divisors is an integer number (28795669371).

Almost surely, 2^213141220253 is an apocalyptic number.

It is an amenable number.

213141220253 is a deficient number, since it is larger than the sum of its proper divisors (17224134715).

213141220253 is a wasteful number, since it uses less digits than its factorization.

213141220253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59189743.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 213141220253 its reverse (352022141312), we get a palindrome (565163361565).

The spelling of 213141220253 in words is "two hundred thirteen billion, one hundred forty-one million, two hundred twenty thousand, two hundred fifty-three".