100640313 has 20 divisors (see below), whose sum is σ = 151900980. Its totient is φ = 66396672.

The previous prime is 100640303. The next prime is 100640329. The reversal of 100640313 is 313046001.

100640313 is a `hidden beast` number, since 10 + 0 + 640 + 3 + 13 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38340864 + 62299449 = 6192^2 + 7893^2 .

It is not a de Polignac number, because 100640313 - 2¹³ = 100632121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100640303) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1453 + ... + 14261.

It is an arithmetic number, because the mean of its divisors is an integer number (7595049).

Almost surely, 2^100640313 is an apocalyptic number.

It is an amenable number.

100640313 is a deficient number, since it is larger than the sum of its proper divisors (51260667).

100640313 is an equidigital number, since it uses as much as digits as its factorization.

100640313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12918 (or 12909 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 100640313 is about 10031.9645633345. The cubic root of 100640313 is about 465.1474662361.

Adding to 100640313 its reverse (313046001), we get a palindrome (413686314).

The spelling of 100640313 in words is "one hundred million, six hundred forty thousand, three hundred thirteen".