103313312 has 48 divisors (see below), whose sum is σ = 212012640. Its totient is φ = 49496832.

The previous prime is 103313311. The next prime is 103313347. The reversal of 103313312 is 213313301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103313311) 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, 150923 + ... + 151605.

It is an arithmetic number, because the mean of its divisors is an integer number (4416930).

Almost surely, 2^103313312 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 103313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106006320).

103313312 is an abundant number, since it is smaller than the sum of its proper divisors (108699328).

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

103313312 is a wasteful number, since it uses less digits than its factorization.

103313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 103313312 is about 10164.3156188698. The cubic root of 103313312 is about 469.2296297935.

Adding to 103313312 its reverse (213313301), we get a palindrome (316626613).

The spelling of 103313312 in words is "one hundred three million, three hundred thirteen thousand, three hundred twelve".