10202313 has 16 divisors (see below), whose sum is σ = 14991552. Its totient is φ = 6120000.

The previous prime is 10202293. The next prime is 10202321. The reversal of 10202313 is 31320201.

It is a happy number.

It is not a de Polignac number, because 10202313 - 2⁵ = 10202281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10202393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1803 + ... + 4863.

It is an arithmetic number, because the mean of its divisors is an integer number (936972).

Almost surely, 2^10202313 is an apocalyptic number.

It is an amenable number.

10202313 is a deficient number, since it is larger than the sum of its proper divisors (4789239).

10202313 is a wasteful number, since it uses less digits than its factorization.

10202313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3176.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 10202313 is about 3194.1059782042. The cubic root of 10202313 is about 216.8866801285.

Adding to 10202313 its reverse (31320201), we get a palindrome (41522514).

It can be divided in two parts, 1020 and 2313, that added together give a palindrome (3333).

The spelling of 10202313 in words is "ten million, two hundred two thousand, three hundred thirteen".