10235313 has 12 divisors (see below), whose sum is σ = 16128528. Its totient is φ = 6203160.

The previous prime is 10235249. The next prime is 10235317. The reversal of 10235313 is 31353201.

10235313 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10235313 - 2⁶ = 10235249 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10235317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51595 + ... + 51792.

It is an arithmetic number, because the mean of its divisors is an integer number (1344044).

Almost surely, 2^10235313 is an apocalyptic number.

It is an amenable number.

10235313 is a deficient number, since it is larger than the sum of its proper divisors (5893215).

10235313 is a wasteful number, since it uses less digits than its factorization.

10235313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103404 (or 103401 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 10235313 is about 3199.2675724297. The cubic root of 10235313 is about 217.1202728251.

Adding to 10235313 its reverse (31353201), we get a palindrome (41588514).

It can be divided in two parts, 1023 and 5313, that added together give a palindrome (6336).

The spelling of 10235313 in words is "ten million, two hundred thirty-five thousand, three hundred thirteen".