213008301 has 24 divisors (see below), whose sum is σ = 337896000. Its totient is φ = 128232000.

The previous prime is 213008281. The next prime is 213008309. The reversal of 213008301 is 103800312.

It is not a de Polignac number, because 213008301 - 2¹¹ = 213006253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213008309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7825 + ... + 22073.

It is an arithmetic number, because the mean of its divisors is an integer number (14079000).

Almost surely, 2^213008301 is an apocalyptic number.

It is an amenable number.

213008301 is a deficient number, since it is larger than the sum of its proper divisors (124887699).

213008301 is a wasteful number, since it uses less digits than its factorization.

213008301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14417 (or 14414 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 213008301 is about 14594.8039041297. The cubic root of 213008301 is about 597.2170199947.

Adding to 213008301 its reverse (103800312), we get a palindrome (316808613).

The spelling of 213008301 in words is "two hundred thirteen million, eight thousand, three hundred one".