10102313 has 18 divisors (see below), whose sum is σ = 11536686. Its totient is φ = 8840832.

The previous prime is 10102307. The next prime is 10102361. The reversal of 10102313 is 31320101.

It can be written as a sum of positive squares in 3 ways, for example, as 1024144 + 9078169 = 1012^2 + 3013^2 .

It is not a de Polignac number, because 10102313 - 2⁴ = 10102297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102294 and 10102303.

It is not an unprimeable number, because it can be changed into a prime (10102303) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 89345 + ... + 89457.

It is an arithmetic number, because the mean of its divisors is an integer number (640927).

Almost surely, 2^10102313 is an apocalyptic number.

10102313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10102313 is a deficient number, since it is larger than the sum of its proper divisors (1434373).

10102313 is a wasteful number, since it uses less digits than its factorization.

10102313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 10102313 is about 3178.4135980077. The cubic root of 10102313 is about 216.1757329033.

Adding to 10102313 its reverse (31320101), we get a palindrome (41422414).

The spelling of 10102313 in words is "ten million, one hundred two thousand, three hundred thirteen".