10233124313 has 8 divisors (see below), whose sum is σ = 10840600008. Its totient is φ = 9626262784.

The previous prime is 10233124267. The next prime is 10233124331. The reversal of 10233124313 is 31342133201.

10233124313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 10230715609 = 1552^2 + 101147^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10233124313 - 2¹⁰ = 10233123289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10233124613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119006 + ... + 186087.

It is an arithmetic number, because the mean of its divisors is an integer number (1355075001).

Almost surely, 2^10233124313 is an apocalyptic number.

It is an amenable number.

10233124313 is a deficient number, since it is larger than the sum of its proper divisors (607475695).

10233124313 is a wasteful number, since it uses less digits than its factorization.

10233124313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307083.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 10233124313 its reverse (31342133201), we get a palindrome (41575257514).

The spelling of 10233124313 in words is "ten billion, two hundred thirty-three million, one hundred twenty-four thousand, three hundred thirteen".