105133543313301 has 24 divisors (see below), whose sum is σ = 164213594573184. Its totient is φ = 64562609823360.

The previous prime is 105133543313273. The next prime is 105133543313317. The reversal of 105133543313301 is 103313345331501.

105133543313301 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 35 + 4 + 3 + 313 + 301 = 666.

It is not a de Polignac number, because 105133543313301 - 2⁹ = 105133543312789 is a prime.

It is a super-2 number, since 2×105133543313301² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105133543314301) 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, 7310070915 + ... + 7310085296.

It is an arithmetic number, because the mean of its divisors is an integer number (6842233107216).

Almost surely, 2^{105133543313301} is an apocalyptic number.

It is an amenable number.

105133543313301 is a deficient number, since it is larger than the sum of its proper divisors (59080051259883).

105133543313301 is a wasteful number, since it uses less digits than its factorization.

105133543313301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14620156281 (or 14620156278 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 36.

Adding to 105133543313301 its reverse (103313345331501), we get a palindrome (208446888644802).

The spelling of 105133543313301 in words is "one hundred five trillion, one hundred thirty-three billion, five hundred forty-three million, three hundred thirteen thousand, three hundred one".