213121213320013 has 2 divisors, whose sum is σ = 213121213320014. Its totient is φ = 213121213320012.

The previous prime is 213121213319999. The next prime is 213121213320053. The reversal of 213121213320013 is 310023312121312.

213121213320013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 166317184545604 + 46804028774409 = 12896402^2 + 6841347^2 .

It is a cyclic number.

It is not a de Polignac number, because 213121213320013 - 2⁵ = 213121213319981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213121213320013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213121213320053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560606660006 + 106560606660007.

It is an arithmetic number, because the mean of its divisors is an integer number (106560606660007).

Almost surely, 2^{213121213320013} is an apocalyptic number.

It is an amenable number.

213121213320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213121213320013 is an equidigital number, since it uses as much as digits as its factorization.

213121213320013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 213121213320013 its reverse (310023312121312), we get a palindrome (523144525441325).

The spelling of 213121213320013 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty thousand, thirteen".