101213312 has 32 divisors (see below), whose sum is σ = 203658300. Its totient is φ = 50099200.

The previous prime is 101213311. The next prime is 101213327. The reversal of 101213312 is 213312101.

It can be written as a sum of positive squares in 2 ways, for example, as 100480576 + 732736 = 10024^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (101213311) by changing a digit.

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 in 3 ways as a sum of consecutive naturals, for example, 9014 + ... + 16842.

Almost surely, 2^101213312 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 101213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101829150).

101213312 is an abundant number, since it is smaller than the sum of its proper divisors (102444988).

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

101213312 is an equidigital number, since it uses as much as digits as its factorization.

101213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944 (or 7932 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 101213312 is about 10060.4826921972. The cubic root of 101213312 is about 466.0285737113.

Adding to 101213312 its reverse (213312101), we get a palindrome (314525413).

It can be divided in two parts, 101 and 213312, that multiplied together give a palindrome (21544512).

The spelling of 101213312 in words is "one hundred one million, two hundred thirteen thousand, three hundred twelve".