103313331 has 24 divisors (see below), whose sum is σ = 163116720. Its totient is φ = 62491200.

The previous prime is 103313311. The next prime is 103313347. The reversal of 103313331 is 133313301.

103313331 is a `hidden beast` number, since 1 + 0 + 331 + 3 + 331 = 666.

It is not a de Polignac number, because 103313331 - 2⁵ = 103313299 is a prime.

It is a super-2 number, since 2×103313331² = 21347288724631122, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 92605 + ... + 93713.

It is an arithmetic number, because the mean of its divisors is an integer number (6796530).

Almost surely, 2^103313331 is an apocalyptic number.

103313331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

103313331 is a deficient number, since it is larger than the sum of its proper divisors (59803389).

103313331 is a wasteful number, since it uses less digits than its factorization.

103313331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2064 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

The square root of 103313331 is about 10164.3165535121. The cubic root of 103313331 is about 469.2296585583.

Adding to 103313331 its reverse (133313301), we get a palindrome (236626632).

The spelling of 103313331 in words is "one hundred three million, three hundred thirteen thousand, three hundred thirty-one".