10320232223313 has 12 divisors (see below), whose sum is σ = 14917013538180. Its totient is φ = 6875534151936.

The previous prime is 10320232223303. The next prime is 10320232223333. The reversal of 10320232223313 is 31332223202301.

10320232223313 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 2 + 322 + 2 + 331 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7415992525824 + 2904239697489 = 2723232^2 + 1704183^2 .

It is not a de Polignac number, because 10320232223313 - 2²⁸ = 10319963787857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10320232223303) 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, 385041156 + ... + 385067957.

It is an arithmetic number, because the mean of its divisors is an integer number (1243084461515).

Almost surely, 2^{10320232223313} is an apocalyptic number.

It is an amenable number.

10320232223313 is a deficient number, since it is larger than the sum of its proper divisors (4596781314867).

10320232223313 is a wasteful number, since it uses less digits than its factorization.

10320232223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770110608 (or 770110605 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10320232223313 its reverse (31332223202301), we get a palindrome (41652455425614).

The spelling of 10320232223313 in words is "ten trillion, three hundred twenty billion, two hundred thirty-two million, two hundred twenty-three thousand, three hundred thirteen".