213121213323013 has 2 divisors, whose sum is σ = 213121213323014. Its totient is φ = 213121213323012.

The previous prime is 213121213322987. The next prime is 213121213323037. The reversal of 213121213323013 is 310323312121312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210486068227044 + 2635145095969 = 14508138^2 + 1623313^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-213121213323013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213121213320013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106560606661506 + 106560606661507.

It is an arithmetic number, because the mean of its divisors is an integer number (106560606661507).

Almost surely, 2^{213121213323013} is an apocalyptic number.

It is an amenable number.

213121213323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

213121213323013 is an equidigital number, since it uses as much as digits as its factorization.

213121213323013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 213121213323013 its reverse (310323312121312), we get a palindrome (523444525444325).

The spelling of 213121213323013 in words is "two hundred thirteen trillion, one hundred twenty-one billion, two hundred thirteen million, three hundred twenty-three thousand, thirteen".