10221312313 has 4 divisors (see below), whose sum is σ = 10225491840. Its totient is φ = 10217132788.

The previous prime is 10221312307. The next prime is 10221312323. The reversal of 10221312313 is 31321312201.

10221312313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, and also an emirpimes, since its reverse is a distinct semiprime: 31321312201 = 149 ⋅210210149.

It is a cyclic number.

It is not a de Polignac number, because 10221312313 - 2²¹ = 10219215161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10221312323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2086093 + ... + 2090986.

It is an arithmetic number, because the mean of its divisors is an integer number (2556372960).

Almost surely, 2^10221312313 is an apocalyptic number.

It is an amenable number.

10221312313 is a deficient number, since it is larger than the sum of its proper divisors (4179527).

10221312313 is an equidigital number, since it uses as much as digits as its factorization.

10221312313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179526.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 10221312313 its reverse (31321312201), we get a palindrome (41542624514).

The spelling of 10221312313 in words is "ten billion, two hundred twenty-one million, three hundred twelve thousand, three hundred thirteen".