107313 has 4 divisors (see below), whose sum is σ = 143088. Its totient is φ = 71540.

The previous prime is 107309. The next prime is 107323. The reversal of 107313 is 313701.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 107313 - 2² = 107309 is a prime.

It is a D-number.

107313 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 107292 and 107301.

It is not an unprimeable number, because it can be changed into a prime (107323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17883 + ... + 17888.

It is an arithmetic number, because the mean of its divisors is an integer number (35772).

2¹⁰⁷³¹³ is an apocalyptic number.

It is an amenable number.

107313 is a deficient number, since it is larger than the sum of its proper divisors (35775).

107313 is an equidigital number, since it uses as much as digits as its factorization.

107313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35774.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 107313 is about 327.5866297638. The cubic root of 107313 is about 47.5208403472.

The spelling of 107313 in words is "one hundred seven thousand, three hundred thirteen".