213101003001321 has 6 divisors (see below), whose sum is σ = 307812559890810. Its totient is φ = 142067335334208.

The previous prime is 213101003001287. The next prime is 213101003001349. The reversal of 213101003001321 is 123100300101312.

213101003001321 is a `hidden beast` number, since 2 + 1 + 31 + 0 + 10 + 0 + 300 + 1 + 321 = 666.

213101003001321 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., 183064147214400 + 30036855786921 = 13530120^2 + 5480589^2 .

It is not a de Polignac number, because 213101003001321 - 2¹¹ = 213101002999273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213101003001294 and 213101003001303.

It is not an unprimeable number, because it can be changed into a prime (213101003001371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11838944611176 + ... + 11838944611193.

It is an arithmetic number, because the mean of its divisors is an integer number (51302093315135).

Almost surely, 2^{213101003001321} is an apocalyptic number.

It is an amenable number.

213101003001321 is a deficient number, since it is larger than the sum of its proper divisors (94711556889489).

213101003001321 is a wasteful number, since it uses less digits than its factorization.

213101003001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23677889222375 (or 23677889222372 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 213101003001321 its reverse (123100300101312), we get a palindrome (336201303102633).

The spelling of 213101003001321 in words is "two hundred thirteen trillion, one hundred one billion, three million, one thousand, three hundred twenty-one".