10224234313 has 16 divisors (see below), whose sum is σ = 10656360000. Its totient is φ = 9801489600.

The previous prime is 10224234277. The next prime is 10224234323. The reversal of 10224234313 is 31343242201.

10224234313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10224234313 - 2²⁵ = 10190679881 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10224234323) 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 15 ways as a sum of consecutive naturals, for example, 1775563 + ... + 1781311.

It is an arithmetic number, because the mean of its divisors is an integer number (666022500).

Almost surely, 2^10224234313 is an apocalyptic number.

It is an amenable number.

10224234313 is a deficient number, since it is larger than the sum of its proper divisors (432125687).

10224234313 is an equidigital number, since it uses as much as digits as its factorization.

10224234313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 10224234313 its reverse (31343242201), we get a palindrome (41567476514).

The spelling of 10224234313 in words is "ten billion, two hundred twenty-four million, two hundred thirty-four thousand, three hundred thirteen".