213323212001 has 6 divisors (see below), whose sum is σ = 214608273570. Its totient is φ = 212045799776.

The previous prime is 213323211991. The next prime is 213323212007. The reversal of 213323212001 is 100212323312.

213323212001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 207549491776 + 5773720225 = 455576^2 + 75985^2 .

It is not a de Polignac number, because 213323212001 - 2¹⁰ = 213323210977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213323212007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3796616 + ... + 3852393.

It is an arithmetic number, because the mean of its divisors is an integer number (35768045595).

Almost surely, 2^213323212001 is an apocalyptic number.

It is an amenable number.

213323212001 is a deficient number, since it is larger than the sum of its proper divisors (1285061569).

213323212001 is an frugal number, since it uses more digits than its factorization.

213323212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7649343 (or 7649176 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213323212001 its reverse (100212323312), we get a palindrome (313535535313).

The spelling of 213323212001 in words is "two hundred thirteen billion, three hundred twenty-three million, two hundred twelve thousand, one".