10003110223133 has 2 divisors, whose sum is σ = 10003110223134. Its totient is φ = 10003110223132.

The previous prime is 10003110223097. The next prime is 10003110223159. The reversal of 10003110223133 is 33132201130001.

10003110223133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10002936958564 + 173264569 = 3162742^2 + 13163^2 .

It is a cyclic number.

It is not a de Polignac number, because 10003110223133 - 2¹⁰ = 10003110222109 is a prime.

It is a super-2 number, since 2×10003110223133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10003110223433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001555111566 + 5001555111567.

It is an arithmetic number, because the mean of its divisors is an integer number (5001555111567).

Almost surely, 2^{10003110223133} is an apocalyptic number.

It is an amenable number.

10003110223133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10003110223133 is an equidigital number, since it uses as much as digits as its factorization.

10003110223133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10003110223133 its reverse (33132201130001), we get a palindrome (43135311353134).

The spelling of 10003110223133 in words is "ten trillion, three billion, one hundred ten million, two hundred twenty-three thousand, one hundred thirty-three".