10133111213 has 2 divisors, whose sum is σ = 10133111214. Its totient is φ = 10133111212.

The previous prime is 10133111203. The next prime is 10133111257. The reversal of 10133111213 is 31211133101.

10133111213 is digitally balanced in base 3, 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., 6262031689 + 3871079524 = 79133^2 + 62218^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133111213 - 2¹⁶ = 10133045677 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133111191 and 10133111200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10133111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066555606 + 5066555607.

It is an arithmetic number, because the mean of its divisors is an integer number (5066555607).

Almost surely, 2^10133111213 is an apocalyptic number.

It is an amenable number.

10133111213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133111213 is an equidigital number, since it uses as much as digits as its factorization.

10133111213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10133111213 its reverse (31211133101), we get a palindrome (41344244314).

The spelling of 10133111213 in words is "ten billion, one hundred thirty-three million, one hundred eleven thousand, two hundred thirteen".