103313128 has 16 divisors (see below), whose sum is σ = 193921380. Its totient is φ = 51600768.

The previous prime is 103313123. The next prime is 103313137. The reversal of 103313128 is 821313301.

It can be written as a sum of positive squares in 2 ways, for example, as 103184964 + 128164 = 10158^2 + 358^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103313099 and 103313108.

It is not an unprimeable number, because it can be changed into a prime (103313123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1500 + ... + 14452.

Almost surely, 2^103313128 is an apocalyptic number.

It is an amenable number.

103313128 is a deficient number, since it is larger than the sum of its proper divisors (90608252).

103313128 is a wasteful number, since it uses less digits than its factorization.

103313128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13952 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 103313128 is about 10164.3065675923. The cubic root of 103313128 is about 469.2293512288.

Adding to 103313128 its reverse (821313301), we get a palindrome (924626429).

It can be divided in two parts, 1033 and 13128, that added together give a square (14161 = 119²).

The spelling of 103313128 in words is "one hundred three million, three hundred thirteen thousand, one hundred twenty-eight".