105334241013 has 24 divisors (see below), whose sum is σ = 154429610400. Its totient is φ = 69177786144.

The previous prime is 105334241009. The next prime is 105334241069. The reversal of 105334241013 is 310142433501.

It is a happy number.

105334241013 is a `hidden beast` number, since 1 + 0 + 533 + 4 + 24 + 101 + 3 = 666.

It is not a de Polignac number, because 105334241013 - 2² = 105334241009 is a prime.

It is a super-2 number, since 2×105334241013² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105334241213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133158 + ... + 477911.

It is an arithmetic number, because the mean of its divisors is an integer number (6434567100).

Almost surely, 2^105334241013 is an apocalyptic number.

It is an amenable number.

105334241013 is a deficient number, since it is larger than the sum of its proper divisors (49095369387).

105334241013 is a wasteful number, since it uses less digits than its factorization.

105334241013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611361 (or 611358 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 105334241013 its reverse (310142433501), we get a palindrome (415476674514).

The spelling of 105334241013 in words is "one hundred five billion, three hundred thirty-four million, two hundred forty-one thousand, thirteen".