213013132021 has 2 divisors, whose sum is σ = 213013132022. Its totient is φ = 213013132020.

The previous prime is 213013132001. The next prime is 213013132039. The reversal of 213013132021 is 120231310312.

213013132021 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., 211351672900 + 1661459121 = 459730^2 + 40761^2 .

It is a cyclic number.

It is not a de Polignac number, because 213013132021 - 2³⁷ = 75574178549 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213013132021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213013132001) 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, 106506566010 + 106506566011.

It is an arithmetic number, because the mean of its divisors is an integer number (106506566011).

Almost surely, 2^213013132021 is an apocalyptic number.

It is an amenable number.

213013132021 is a deficient number, since it is larger than the sum of its proper divisors (1).

213013132021 is an equidigital number, since it uses as much as digits as its factorization.

213013132021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213013132021 its reverse (120231310312), we get a palindrome (333244442333).

The spelling of 213013132021 in words is "two hundred thirteen billion, thirteen million, one hundred thirty-two thousand, twenty-one".