10800313 has 4 divisors (see below), whose sum is σ = 10810368. Its totient is φ = 10790260.

The previous prime is 10800311. The next prime is 10800329. The reversal of 10800313 is 31300801.

10800313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 10800313 - 2¹ = 10800311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10800311) 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, 3193 + ... + 5638.

It is an arithmetic number, because the mean of its divisors is an integer number (2702592).

Almost surely, 2^10800313 is an apocalyptic number.

It is an amenable number.

10800313 is a deficient number, since it is larger than the sum of its proper divisors (10055).

10800313 is an equidigital number, since it uses as much as digits as its factorization.

10800313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10054.

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

The square root of 10800313 is about 3286.3829661194. The cubic root of 10800313 is about 221.0440252716.

The spelling of 10800313 in words is "ten million, eight hundred thousand, three hundred thirteen".