101335312 has 40 divisors (see below), whose sum is σ = 213111360. Its totient is φ = 46400640.

The previous prime is 101335279. The next prime is 101335327. The reversal of 101335312 is 213533101.

It is a self number, because there is not a number n which added to its sum of digits gives 101335312.

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 in 7 ways as a sum of consecutive naturals, for example, 25389 + ... + 29107.

It is an arithmetic number, because the mean of its divisors is an integer number (5327784).

Almost surely, 2^101335312 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 101335312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106555680).

101335312 is an abundant number, since it is smaller than the sum of its proper divisors (111776048).

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

101335312 is a wasteful number, since it uses less digits than its factorization.

101335312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3865 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 101335312 is about 10066.5441935155. The cubic root of 101335312 is about 466.2157449312.

Adding to 101335312 its reverse (213533101), we get a palindrome (314868413).

The spelling of 101335312 in words is "one hundred one million, three hundred thirty-five thousand, three hundred twelve".