213112320301 has 2 divisors, whose sum is σ = 213112320302. Its totient is φ = 213112320300.

The previous prime is 213112320299. The next prime is 213112320361. The reversal of 213112320301 is 103023211312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119595622276 + 93516698025 = 345826^2 + 305805^2 .

It is a cyclic number.

It is not a de Polignac number, because 213112320301 - 2¹ = 213112320299 is a prime.

It is a super-2 number, since 2×213112320301² (a number of 23 digits) contains 22 as substring.

Together with 213112320299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213112320361) 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, 106556160150 + 106556160151.

It is an arithmetic number, because the mean of its divisors is an integer number (106556160151).

Almost surely, 2^213112320301 is an apocalyptic number.

It is an amenable number.

213112320301 is a deficient number, since it is larger than the sum of its proper divisors (1).

213112320301 is an equidigital number, since it uses as much as digits as its factorization.

213112320301 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 213112320301 its reverse (103023211312), we get a palindrome (316135531613).

The spelling of 213112320301 in words is "two hundred thirteen billion, one hundred twelve million, three hundred twenty thousand, three hundred one".