10113223223313 has 96 divisors (see below), whose sum is σ = 17082698680320. Its totient is φ = 5646015809280.

The previous prime is 10113223223309. The next prime is 10113223223347. The reversal of 10113223223313 is 31332232231101.

10113223223313 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 2 + 2 + 322 + 331 + 3 = 666.

It is not a de Polignac number, because 10113223223313 - 2² = 10113223223309 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10113223223113) 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 95 ways as a sum of consecutive naturals, for example, 570167781 + ... + 570185517.

It is an arithmetic number, because the mean of its divisors is an integer number (177944777920).

Almost surely, 2^{10113223223313} is an apocalyptic number.

It is an amenable number.

10113223223313 is a deficient number, since it is larger than the sum of its proper divisors (6969475457007).

10113223223313 is a wasteful number, since it uses less digits than its factorization.

10113223223313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18747 (or 18744 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10113223223313 its reverse (31332232231101), we get a palindrome (41445455454414).

The spelling of 10113223223313 in words is "ten trillion, one hundred thirteen billion, two hundred twenty-three million, two hundred twenty-three thousand, three hundred thirteen".