101314312 has 32 divisors (see below), whose sum is σ = 209304000. Its totient is φ = 45592000.

The previous prime is 101314309. The next prime is 101314319. The reversal of 101314312 is 213413101.

It is not an unprimeable number, because it can be changed into a prime (101314319) 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, 3189 + ... + 14587.

It is an arithmetic number, because the mean of its divisors is an integer number (6540750).

Almost surely, 2^101314312 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 101314312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104652000).

101314312 is an abundant number, since it is smaller than the sum of its proper divisors (107989688).

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

101314312 is a wasteful number, since it uses less digits than its factorization.

101314312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11517 (or 11513 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 101314312 is about 10065.5010804232. The cubic root of 101314312 is about 466.1835376422.

Adding to 101314312 its reverse (213413101), we get a palindrome (314727413).

It can be divided in two parts, 101 and 314312, that added together give a palindrome (314413).

The spelling of 101314312 in words is "one hundred one million, three hundred fourteen thousand, three hundred twelve".