213024414353 has 2 divisors, whose sum is σ = 213024414354. Its totient is φ = 213024414352.

The previous prime is 213024414329. The next prime is 213024414367. The reversal of 213024414353 is 353414420312.

213024414353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116931854209 + 96092560144 = 341953^2 + 309988^2 .

It is a cyclic number.

It is not a de Polignac number, because 213024414353 - 2²⁴ = 213007637137 is a prime.

It is a super-2 number, since 2×213024414353² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (213024414313) 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 as a sum of consecutive naturals, namely, 106512207176 + 106512207177.

It is an arithmetic number, because the mean of its divisors is an integer number (106512207177).

Almost surely, 2^213024414353 is an apocalyptic number.

It is an amenable number.

213024414353 is a deficient number, since it is larger than the sum of its proper divisors (1).

213024414353 is an equidigital number, since it uses as much as digits as its factorization.

213024414353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 213024414353 its reverse (353414420312), we get a palindrome (566438834665).

The spelling of 213024414353 in words is "two hundred thirteen billion, twenty-four million, four hundred fourteen thousand, three hundred fifty-three".