100133023253 has 2 divisors, whose sum is σ = 100133023254. Its totient is φ = 100133023252.

The previous prime is 100133023157. The next prime is 100133023313. The reversal of 100133023253 is 352320331001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99254612209 + 878411044 = 315047^2 + 29638^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133023253 - 2²⁴ = 100116246037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100133023553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066511626 + 50066511627.

It is an arithmetic number, because the mean of its divisors is an integer number (50066511627).

Almost surely, 2^100133023253 is an apocalyptic number.

It is an amenable number.

100133023253 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133023253 is an equidigital number, since it uses as much as digits as its factorization.

100133023253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 100133023253 its reverse (352320331001), we get a palindrome (452453354254).

The spelling of 100133023253 in words is "one hundred billion, one hundred thirty-three million, twenty-three thousand, two hundred fifty-three".