101112313 has 8 divisors (see below), whose sum is σ = 102791520. Its totient is φ = 99438240.

The previous prime is 101112293. The next prime is 101112317. The reversal of 101112313 is 313211101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101112313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101112293 and 101112302.

It is not an unprimeable number, because it can be changed into a prime (101112317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67533 + ... + 69013.

It is an arithmetic number, because the mean of its divisors is an integer number (12848940).

Almost surely, 2^101112313 is an apocalyptic number.

It is an amenable number.

101112313 is a deficient number, since it is larger than the sum of its proper divisors (1679207).

101112313 is a wasteful number, since it uses less digits than its factorization.

101112313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 101112313 is about 10055.4618491644. The cubic root of 101112313 is about 465.8735081904.

Adding to 101112313 its reverse (313211101), we get a palindrome (414323414).

The spelling of 101112313 in words is "one hundred one million, one hundred twelve thousand, three hundred thirteen".