101312316 has 96 divisors (see below), whose sum is σ = 317882880. Its totient is φ = 27240192.

The previous prime is 101312291. The next prime is 101312317. The reversal of 101312316 is 613213101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101312317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8911 + ... + 16793.

It is an arithmetic number, because the mean of its divisors is an integer number (3311280).

Almost surely, 2^101312316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

101312316 is an abundant number, since it is smaller than the sum of its proper divisors (216570564).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101312316 is a wasteful number, since it uses less digits than its factorization.

101312316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 101312316 is about 10065.4019293817. The cubic root of 101312316 is about 466.1804761845.

Adding to 101312316 its reverse (613213101), we get a palindrome (714525417).

The spelling of 101312316 in words is "one hundred one million, three hundred twelve thousand, three hundred sixteen".