101008313 has 16 divisors (see below), whose sum is σ = 121883520. Its totient is φ = 81772416.

The previous prime is 101008283. The next prime is 101008337. The reversal of 101008313 is 313800101.

It is a cyclic number.

It is not a de Polignac number, because 101008313 - 2¹⁰ = 101007289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101008291 and 101008300.

It is not an unprimeable number, because it can be changed into a prime (101008213) 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, 51845 + ... + 53757.

It is an arithmetic number, because the mean of its divisors is an integer number (7617720).

Almost surely, 2^101008313 is an apocalyptic number.

It is an amenable number.

101008313 is a deficient number, since it is larger than the sum of its proper divisors (20875207).

101008313 is a wasteful number, since it uses less digits than its factorization.

101008313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 101008313 is about 10050.2891998191. The cubic root of 101008313 is about 465.7137272352.

Adding to 101008313 its reverse (313800101), we get a palindrome (414808414).

The spelling of 101008313 in words is "one hundred one million, eight thousand, three hundred thirteen".