10001133130301 has 2 divisors, whose sum is σ = 10001133130302. Its totient is φ = 10001133130300.

The previous prime is 10001133130291. The next prime is 10001133130361. The reversal of 10001133130301 is 10303133110001.

10001133130301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9511678978201 + 489454152100 = 3084101^2 + 699610^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001133130301 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10001133130301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001133130361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000566565150 + 5000566565151.

It is an arithmetic number, because the mean of its divisors is an integer number (5000566565151).

Almost surely, 2^{10001133130301} is an apocalyptic number.

It is an amenable number.

10001133130301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001133130301 is an equidigital number, since it uses as much as digits as its factorization.

10001133130301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10001133130301 its reverse (10303133110001), we get a palindrome (20304266240302).

The spelling of 10001133130301 in words is "ten trillion, one billion, one hundred thirty-three million, one hundred thirty thousand, three hundred one".