101312320 has 56 divisors (see below), whose sum is σ = 244611144. Its totient is φ = 39960576.

The previous prime is 101312317. The next prime is 101312383. The reversal of 101312320 is 23213101.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 101284096 = 168^2 + 10064^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101312320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21192 + ... + 25528.

Almost surely, 2^101312320 is an apocalyptic number.

101312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122305572).

101312320 is an abundant number, since it is smaller than the sum of its proper divisors (143298824).

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

101312320 is an equidigital number, since it uses as much as digits as its factorization.

101312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4427 (or 4417 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 101312320 is about 10065.4021280821. The cubic root of 101312320 is about 466.1804823197.

Adding to 101312320 its reverse (23213101), we get a palindrome (124525421).

The spelling of 101312320 in words is "one hundred one million, three hundred twelve thousand, three hundred twenty".