10217313 has 16 divisors (see below), whose sum is σ = 15795840. Its totient is φ = 6514992.

The previous prime is 10217297. The next prime is 10217327. The reversal of 10217313 is 31371201.

It is not a de Polignac number, because 10217313 - 2⁴ = 10217297 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10217213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7606 + ... + 8847.

It is an arithmetic number, because the mean of its divisors is an integer number (987240).

Almost surely, 2^10217313 is an apocalyptic number.

It is an amenable number.

10217313 is a deficient number, since it is larger than the sum of its proper divisors (5578527).

10217313 is a wasteful number, since it uses less digits than its factorization.

10217313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16485 (or 16479 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 10217313 is about 3196.4531906474. The cubic root of 10217313 is about 216.9929209750.

Adding to 10217313 its reverse (31371201), we get a palindrome (41588514).

The spelling of 10217313 in words is "ten million, two hundred seventeen thousand, three hundred thirteen".