10221313 has 4 divisors (see below), whose sum is σ = 10264320. Its totient is φ = 10178308.

The previous prime is 10221293. The next prime is 10221347. The reversal of 10221313 is 31312201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10221313 - 2²¹ = 8124161 is a prime.

It is a super-3 number, since 3×10221313³ (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10221293 and 10221302.

It is not an unprimeable number, because it can be changed into a prime (10221353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21145 + ... + 21622.

It is an arithmetic number, because the mean of its divisors is an integer number (2566080).

Almost surely, 2^10221313 is an apocalyptic number.

It is an amenable number.

10221313 is a deficient number, since it is larger than the sum of its proper divisors (43007).

10221313 is an equidigital number, since it uses as much as digits as its factorization.

10221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43006.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 10221313 is about 3197.0788229257. The cubic root of 10221313 is about 217.0212343042.

Adding to 10221313 its reverse (31312201), we get a palindrome (41533514).

The spelling of 10221313 in words is "ten million, two hundred twenty-one thousand, three hundred thirteen".