10100001111133 has 2 divisors, whose sum is σ = 10100001111134. Its totient is φ = 10100001111132.

The previous prime is 10100001111077. The next prime is 10100001111173. The reversal of 10100001111133 is 33111110000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8207291036569 + 1892710074564 = 2864837^2 + 1375758^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100001111133 - 2⁹ = 10100001110621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100001111173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000555566 + 5050000555567.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000555567).

Almost surely, 2^{10100001111133} is an apocalyptic number.

It is an amenable number.

10100001111133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001111133 is an equidigital number, since it uses as much as digits as its factorization.

10100001111133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 10100001111133 its reverse (33111110000101), we get a palindrome (43211111111234).

The spelling of 10100001111133 in words is "ten trillion, one hundred billion, one million, one hundred eleven thousand, one hundred thirty-three".