213001313201 has 8 divisors (see below), whose sum is σ = 220977561000. Its totient is φ = 205067157120.

The previous prime is 213001313101. The next prime is 213001313243. The reversal of 213001313201 is 102313100312.

It can be written as a sum of positive squares in 4 ways, for example, as 41730318400 + 171270994801 = 204280^2 + 413849^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 213001313201 - 2¹⁴ = 213001296817 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 213001313201.

It is not an unprimeable number, because it can be changed into a prime (213001313101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10512620 + ... + 10532861.

It is an arithmetic number, because the mean of its divisors is an integer number (27622195125).

Almost surely, 2^213001313201 is an apocalyptic number.

It is an amenable number.

213001313201 is a deficient number, since it is larger than the sum of its proper divisors (7976247799).

213001313201 is a wasteful number, since it uses less digits than its factorization.

213001313201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21045859.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 213001313201 its reverse (102313100312), we get a palindrome (315314413513).

The spelling of 213001313201 in words is "two hundred thirteen billion, one million, three hundred thirteen thousand, two hundred one".