213013113011233 has 2 divisors, whose sum is σ = 213013113011234. Its totient is φ = 213013113011232.

The previous prime is 213013113011189. The next prime is 213013113011297. The reversal of 213013113011233 is 332110311310312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 197582577749649 + 15430535261584 = 14056407^2 + 3928172^2 .

It is a cyclic number.

It is not a de Polignac number, because 213013113011233 - 2⁴¹ = 210814089755681 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213013113011198 and 213013113011207.

It is not a weakly prime, because it can be changed into another prime (213013113012233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106506556505616 + 106506556505617.

It is an arithmetic number, because the mean of its divisors is an integer number (106506556505617).

Almost surely, 2^{213013113011233} is an apocalyptic number.

It is an amenable number.

213013113011233 is a deficient number, since it is larger than the sum of its proper divisors (1).

213013113011233 is an equidigital number, since it uses as much as digits as its factorization.

213013113011233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 213013113011233 its reverse (332110311310312), we get a palindrome (545123424321545).

The spelling of 213013113011233 in words is "two hundred thirteen trillion, thirteen billion, one hundred thirteen million, eleven thousand, two hundred thirty-three".