213001320321 has 12 divisors (see below), whose sum is σ = 307681433748. Its totient is φ = 141994944864.

The previous prime is 213001320307. The next prime is 213001320347. The reversal of 213001320321 is 123023100312.

213001320321 is a `hidden beast` number, since 21 + 3 + 0 + 0 + 1 + 320 + 321 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11816777025 + 201184543296 = 108705^2 + 448536^2 .

It is not a de Polignac number, because 213001320321 - 2¹⁴ = 213001303937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213001320294 and 213001320303.

It is not an unprimeable number, because it can be changed into a prime (213001322321) 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, 261550 + ... + 703143.

It is an arithmetic number, because the mean of its divisors is an integer number (25640119479).

Almost surely, 2^213001320321 is an apocalyptic number.

It is an amenable number.

213001320321 is a deficient number, since it is larger than the sum of its proper divisors (94680113427).

213001320321 is a wasteful number, since it uses less digits than its factorization.

213001320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989232 (or 989229 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213001320321 its reverse (123023100312), we get a palindrome (336024420633).

The spelling of 213001320321 in words is "two hundred thirteen billion, one million, three hundred twenty thousand, three hundred twenty-one".