103520313 has 12 divisors (see below), whose sum is σ = 161031780. Its totient is φ = 63704736.

The previous prime is 103520311. The next prime is 103520321. The reversal of 103520313 is 313025301.

103520313 is a `hidden beast` number, since 1 + 0 + 352 + 0 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7225344 + 96294969 = 2688^2 + 9813^2 .

It is not a de Polignac number, because 103520313 - 2¹ = 103520311 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103520311) 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 11 ways as a sum of consecutive naturals, for example, 442278 + ... + 442511.

It is an arithmetic number, because the mean of its divisors is an integer number (13419315).

Almost surely, 2^103520313 is an apocalyptic number.

103520313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103520313 is a deficient number, since it is larger than the sum of its proper divisors (57511467).

103520313 is a wasteful number, since it uses less digits than its factorization.

103520313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884808 (or 884805 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 103520313 is about 10174.4932551946. The cubic root of 103520313 is about 469.5428072582.

Adding to 103520313 its reverse (313025301), we get a palindrome (416545614).

The spelling of 103520313 in words is "one hundred three million, five hundred twenty thousand, three hundred thirteen".