213122313201 has 8 divisors (see below), whose sum is σ = 324757810624. Its totient is φ = 121784178960.

The previous prime is 213122313163. The next prime is 213122313269. The reversal of 213122313201 is 102313221312.

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

It is not a de Polignac number, because 213122313201 - 2¹⁷ = 213122182129 is a prime.

It is a super-3 number, since 3×213122313201³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 10148681581 = 213122313201 / (2 + 1 + 3 + 1 + 2 + 2 + 3 + 1 + 3 + 2 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213122313601) 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, 5074340770 + ... + 5074340811.

It is an arithmetic number, because the mean of its divisors is an integer number (40594726328).

Almost surely, 2^213122313201 is an apocalyptic number.

213122313201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213122313201 is a deficient number, since it is larger than the sum of its proper divisors (111635497423).

213122313201 is a wasteful number, since it uses less digits than its factorization.

213122313201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148681591.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 213122313201 its reverse (102313221312), we get a palindrome (315435534513).

The spelling of 213122313201 in words is "two hundred thirteen billion, one hundred twenty-two million, three hundred thirteen thousand, two hundred one".