213233101312321 has 12 divisors (see below), whose sum is σ = 221097350430180. Its totient is φ = 205525880510720.

The previous prime is 213233101312303. The next prime is 213233101312327. The reversal of 213233101312321 is 123213101332312.

It can be written as a sum of positive squares in 2 ways, for example, as 4021147878400 + 209211953433921 = 2005280^2 + 14464161^2 .

It is not a de Polignac number, because 213233101312321 - 2¹⁹ = 213233100788033 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 213233101312321.

It is not an unprimeable number, because it can be changed into a prime (213233101312327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 377189416 + ... + 377754313.

It is an arithmetic number, because the mean of its divisors is an integer number (18424779202515).

Almost surely, 2^{213233101312321} is an apocalyptic number.

It is an amenable number.

213233101312321 is a deficient number, since it is larger than the sum of its proper divisors (7864249117859).

213233101312321 is an frugal number, since it uses more digits than its factorization.

213233101312321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754943936 (or 754943853 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 213233101312321 its reverse (123213101332312), we get a palindrome (336446202644633).

The spelling of 213233101312321 in words is "two hundred thirteen trillion, two hundred thirty-three billion, one hundred one million, three hundred twelve thousand, three hundred twenty-one".