10413101441133 has 24 divisors (see below), whose sum is σ = 15271902038328. Its totient is φ = 6835873347072.

The previous prime is 10413101441087. The next prime is 10413101441159. The reversal of 10413101441133 is 33114410131401.

10413101441133 is a `hidden beast` number, since 10 + 413 + 101 + 4 + 4 + 1 + 133 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1510200125604 + 8902901315529 = 1228902^2 + 2983773^2 .

It is not a de Polignac number, because 10413101441133 - 2³² = 10408806473837 is a prime.

It is a super-3 number, since 3×10413101441133³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10413101441097 and 10413101441106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10413101441333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12438610 + ... + 13249347.

It is an arithmetic number, because the mean of its divisors is an integer number (636329251597).

Almost surely, 2^{10413101441133} is an apocalyptic number.

It is an amenable number.

10413101441133 is a deficient number, since it is larger than the sum of its proper divisors (4858800597195).

10413101441133 is a wasteful number, since it uses less digits than its factorization.

10413101441133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25688653 (or 25688650 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10413101441133 its reverse (33114410131401), we get a palindrome (43527511572534).

The spelling of 10413101441133 in words is "ten trillion, four hundred thirteen billion, one hundred one million, four hundred forty-one thousand, one hundred thirty-three".