8100313 has 8 divisors (see below), whose sum is σ = 9236808. Its totient is φ = 7037184.

The previous prime is 8100283. The next prime is 8100343. The reversal of 8100313 is 3130018.

8100313 = 2012² + 2013².

It is an interprime number because it is at equal distance from previous prime (8100283) and next prime (8100343).

It can be written as a sum of positive squares in 4 ways, for example, as 685584 + 7414729 = 828^2 + 2723^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 8100313 - 2¹³ = 8092121 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8100343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18106 + ... + 18547.

It is an arithmetic number, because the mean of its divisors is an integer number (1154601).

Almost surely, 2^8100313 is an apocalyptic number.

8100313 is the 2013-rd centered square number.

It is an amenable number.

8100313 is a deficient number, since it is larger than the sum of its proper divisors (1136495).

8100313 is a wasteful number, since it uses less digits than its factorization.

8100313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36683.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 8100313 is about 2846.1048821152. The cubic root of 8100313 is about 200.8324718125.

The spelling of 8100313 in words is "eight million, one hundred thousand, three hundred thirteen".