10305141133333 has 12 divisors (see below), whose sum is σ = 10947571983972. Its totient is φ = 9698435264000.

The previous prime is 10305141133297. The next prime is 10305141133349. The reversal of 10305141133333 is 33333114150301.

It can be written as a sum of positive squares in 6 ways, for example, as 3201301051524 + 7103840081809 = 1789218^2 + 2665303^2 .

It is not a de Polignac number, because 10305141133333 - 2⁹ = 10305141132821 is a prime.

It is a super-3 number, since 3×10305141133333³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10305141133295 and 10305141133304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10305141133393) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4483833 + ... + 6380833.

It is an arithmetic number, because the mean of its divisors is an integer number (912297665331).

Almost surely, 2^{10305141133333} is an apocalyptic number.

It is an amenable number.

10305141133333 is a deficient number, since it is larger than the sum of its proper divisors (642430850639).

10305141133333 is a wasteful number, since it uses less digits than its factorization.

10305141133333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915832 (or 1915815 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 31.

Adding to 10305141133333 its reverse (33333114150301), we get a palindrome (43638255283634).

The spelling of 10305141133333 in words is "ten trillion, three hundred five billion, one hundred forty-one million, one hundred thirty-three thousand, three hundred thirty-three".