101312 has 14 divisors (see below), whose sum is σ = 201168. Its totient is φ = 50624.

The previous prime is 101293. The next prime is 101323. The reversal of 101312 is 213101.

101312 is nontrivially palindromic in base 6.

101312 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 728 + ... + 855.

2¹⁰¹³¹² is an apocalyptic number.

It is an amenable number.

101312 is a deficient number, since it is larger than the sum of its proper divisors (99856).

101312 is an equidigital number, since it uses as much as digits as its factorization.

101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 101312 is about 318.2954602252. The cubic root of 101312 is about 46.6179991501.

Adding to 101312 its reverse (213101), we get a palindrome (314413).

The spelling of 101312 in words is "one hundred one thousand, three hundred twelve", and thus it is an iban number.