213000232222313 has 2 divisors, whose sum is σ = 213000232222314. Its totient is φ = 213000232222312.

The previous prime is 213000232222289. The next prime is 213000232222409. The reversal of 213000232222313 is 313222232000312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 110734097242729 + 102266134979584 = 10523027^2 + 10112672^2 .

It is a cyclic number.

It is not a de Polignac number, because 213000232222313 - 2⁶ = 213000232222249 is a prime.

It is a super-3 number, since 3×213000232222313³ (a number of 44 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (213000232224313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106500116111156 + 106500116111157.

It is an arithmetic number, because the mean of its divisors is an integer number (106500116111157).

Almost surely, 2^{213000232222313} is an apocalyptic number.

It is an amenable number.

213000232222313 is a deficient number, since it is larger than the sum of its proper divisors (1).

213000232222313 is an equidigital number, since it uses as much as digits as its factorization.

213000232222313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 213000232222313 its reverse (313222232000312), we get a palindrome (526222464222625).

The spelling of 213000232222313 in words is "two hundred thirteen trillion, two hundred thirty-two million, two hundred twenty-two thousand, three hundred thirteen".