10100010133 has 2 divisors, whose sum is σ = 10100010134. Its totient is φ = 10100010132.

The previous prime is 10100010121. The next prime is 10100010163. The reversal of 10100010133 is 33101000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8732341809 + 1367668324 = 93447^2 + 36982^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100010133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10100010113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005066 + 5050005067.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005067).

Almost surely, 2^10100010133 is an apocalyptic number.

It is an amenable number.

10100010133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010133 is an equidigital number, since it uses as much as digits as its factorization.

10100010133 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 10.

Adding to 10100010133 its reverse (33101000101), we get a palindrome (43201010234).

It can be divided in two parts, 101000101 and 33, that multiplied together give a palindrome (3333003333).

The spelling of 10100010133 in words is "ten billion, one hundred million, ten thousand, one hundred thirty-three".