100133123231233 has 2 divisors, whose sum is σ = 100133123231234. Its totient is φ = 100133123231232.

The previous prime is 100133123231201. The next prime is 100133123231261. The reversal of 100133123231233 is 332132321331001.

It is a happy number.

It is an a-pointer prime, because the next prime (100133123231261) can be obtained adding 100133123231233 to its sum of digits (28).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99225844121089 + 907279110144 = 9961217^2 + 952512^2 .

It is a cyclic number.

It is not a de Polignac number, because 100133123231233 - 2⁵ = 100133123231201 is a prime.

It is not a weakly prime, because it can be changed into another prime (100133123241233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50066561615616 + 50066561615617.

It is an arithmetic number, because the mean of its divisors is an integer number (50066561615617).

Almost surely, 2^{100133123231233} is an apocalyptic number.

It is an amenable number.

100133123231233 is a deficient number, since it is larger than the sum of its proper divisors (1).

100133123231233 is an equidigital number, since it uses as much as digits as its factorization.

100133123231233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 100133123231233 its reverse (332132321331001), we get a palindrome (432265444562234).

The spelling of 100133123231233 in words is "one hundred trillion, one hundred thirty-three billion, one hundred twenty-three million, two hundred thirty-one thousand, two hundred thirty-three".