213024414313 has 2 divisors, whose sum is σ = 213024414314. Its totient is φ = 213024414312.

The previous prime is 213024414241. The next prime is 213024414329. The reversal of 213024414313 is 313414420312.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121949020944 + 91075393369 = 349212^2 + 301787^2 .

It is a cyclic number.

It is not a de Polignac number, because 213024414313 - 2⁹ = 213024413801 is a prime.

It is not a weakly prime, because it can be changed into another prime (213024414353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106512207156 + 106512207157.

It is an arithmetic number, because the mean of its divisors is an integer number (106512207157).

Almost surely, 2^213024414313 is an apocalyptic number.

It is an amenable number.

213024414313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213024414313 is an equidigital number, since it uses as much as digits as its factorization.

213024414313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 213024414313 its reverse (313414420312), we get a palindrome (526438834625).

The spelling of 213024414313 in words is "two hundred thirteen billion, twenty-four million, four hundred fourteen thousand, three hundred thirteen".