10113105321 has 24 divisors (see below), whose sum is σ = 16084751904. Its totient is φ = 6071866560.

The previous prime is 10113105311. The next prime is 10113105323. The reversal of 10113105321 is 12350131101.

10113105321 is a `hidden beast` number, since 1 + 0 + 1 + 131 + 0 + 532 + 1 = 666.

It is not a de Polignac number, because 10113105321 - 2¹⁰ = 10113104297 is a prime.

It is a super-3 number, since 3×10113105321³ (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10113105294 and 10113105303.

It is not an unprimeable number, because it can be changed into a prime (10113105323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 466756 + ... + 487941.

It is an arithmetic number, because the mean of its divisors is an integer number (670197996).

Almost surely, 2^10113105321 is an apocalyptic number.

10113105321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10113105321 is a deficient number, since it is larger than the sum of its proper divisors (5971646583).

10113105321 is a wasteful number, since it uses less digits than its factorization.

10113105321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954821 (or 954818 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

Adding to 10113105321 its reverse (12350131101), we get a palindrome (22463236422).

The spelling of 10113105321 in words is "ten billion, one hundred thirteen million, one hundred five thousand, three hundred twenty-one".