10185313 has 4 divisors (see below), whose sum is σ = 10192068. Its totient is φ = 10178560.

The previous prime is 10185299. The next prime is 10185319. The reversal of 10185313 is 31358101.

10185313 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 brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 31358101 = 109 ⋅287689.

It can be written as a sum of positive squares in 2 ways, for example, as 8567329 + 1617984 = 2927^2 + 1272^2 .

It is a cyclic number.

It is not a de Polignac number, because 10185313 - 2²¹ = 8088161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10185319) 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, 33 + ... + 4513.

It is an arithmetic number, because the mean of its divisors is an integer number (2548017).

Almost surely, 2^10185313 is an apocalyptic number.

It is an amenable number.

10185313 is a deficient number, since it is larger than the sum of its proper divisors (6755).

10185313 is an equidigital number, since it uses as much as digits as its factorization.

10185313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6754.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 10185313 is about 3191.4437171913. The cubic root of 10185313 is about 216.7661478737.

The spelling of 10185313 in words is "ten million, one hundred eighty-five thousand, three hundred thirteen".