10320113331 has 48 divisors (see below), whose sum is σ = 16376750208. Its totient is φ = 6210662400.

The previous prime is 10320113291. The next prime is 10320113341. The reversal of 10320113331 is 13331102301.

It is a happy number.

10320113331 is a `hidden beast` number, since 1 + 0 + 320 + 1 + 13 + 331 = 666.

10320113331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10320113331 - 2⁷ = 10320113203 is a prime.

It is a super-3 number, since 3×10320113331³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10320113341) 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 47 ways as a sum of consecutive naturals, for example, 14934696 + ... + 14935386.

It is an arithmetic number, because the mean of its divisors is an integer number (341182296).

Almost surely, 2^10320113331 is an apocalyptic number.

10320113331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10320113331 is a deficient number, since it is larger than the sum of its proper divisors (6056636877).

10320113331 is a wasteful number, since it uses less digits than its factorization.

10320113331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10320113331 its reverse (13331102301), we get a palindrome (23651215632).

The spelling of 10320113331 in words is "ten billion, three hundred twenty million, one hundred thirteen thousand, three hundred thirty-one".