10101123133 has 2 divisors, whose sum is σ = 10101123134. Its totient is φ = 10101123132.

The previous prime is 10101123127. The next prime is 10101123161. The reversal of 10101123133 is 33132110101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7009540729 + 3091582404 = 83723^2 + 55602^2 .

It is a cyclic number.

It is not a de Polignac number, because 10101123133 - 2⁹ = 10101122621 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10101123103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050561566 + 5050561567.

It is an arithmetic number, because the mean of its divisors is an integer number (5050561567).

Almost surely, 2^10101123133 is an apocalyptic number.

It is an amenable number.

10101123133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10101123133 is an equidigital number, since it uses as much as digits as its factorization.

10101123133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10101123133 its reverse (33132110101), we get a palindrome (43233233234).

The spelling of 10101123133 in words is "ten billion, one hundred one million, one hundred twenty-three thousand, one hundred thirty-three".