213322320123201 has 96 divisors (see below), whose sum is σ = 329543081112960. Its totient is φ = 132508841213952.

The previous prime is 213322320123139. The next prime is 213322320123233. The reversal of 213322320123201 is 102321023223312.

213322320123201 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 2 + 2 + 320 + 12 + 320 + 1 = 666.

It is not a de Polignac number, because 213322320123201 - 2¹¹ = 213322320121153 is a prime.

It is a super-3 number, since 3×213322320123201³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213322320123901) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13616020770 + ... + 13616036436.

It is an arithmetic number, because the mean of its divisors is an integer number (3432740428260).

Almost surely, 2^{213322320123201} is an apocalyptic number.

It is an amenable number.

213322320123201 is a deficient number, since it is larger than the sum of its proper divisors (116220760989759).

213322320123201 is a wasteful number, since it uses less digits than its factorization.

213322320123201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18095 (or 18092 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 213322320123201 its reverse (102321023223312), we get a palindrome (315643343346513).

The spelling of 213322320123201 in words is "two hundred thirteen trillion, three hundred twenty-two billion, three hundred twenty million, one hundred twenty-three thousand, two hundred one".