10006045213133 has 8 divisors (see below), whose sum is σ = 10370758494360. Its totient is φ = 9646294017600.

The previous prime is 10006045213123. The next prime is 10006045213139. The reversal of 10006045213133 is 33131254060001.

It can be written as a sum of positive squares in 4 ways, for example, as 6458932522249 + 3547112690884 = 2541443^2 + 1883378^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10006045213133 - 2⁶ = 10006045213069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10006045213096 and 10006045213105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006045213139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1240517318 + ... + 1240525383.

It is an arithmetic number, because the mean of its divisors is an integer number (1296344811795).

Almost surely, 2^{10006045213133} is an apocalyptic number.

It is an amenable number.

10006045213133 is a deficient number, since it is larger than the sum of its proper divisors (364713281227).

10006045213133 is a wasteful number, since it uses less digits than its factorization.

10006045213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2481042847.

The product of its (nonzero) digits is 6480, while the sum is 29.

Adding to 10006045213133 its reverse (33131254060001), we get a palindrome (43137299273134).

The spelling of 10006045213133 in words is "ten trillion, six billion, forty-five million, two hundred thirteen thousand, one hundred thirty-three".