100100109133 has 2 divisors, whose sum is σ = 100100109134. Its totient is φ = 100100109132.

The previous prime is 100100109101. The next prime is 100100109163. The reversal of 100100109133 is 331901001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82358668324 + 17741440809 = 286982^2 + 133197^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100109133 - 2⁵ = 100100109101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100100109133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100100109163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050054566 + 50050054567.

It is an arithmetic number, because the mean of its divisors is an integer number (50050054567).

Almost surely, 2^100100109133 is an apocalyptic number.

It is an amenable number.

100100109133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100109133 is an equidigital number, since it uses as much as digits as its factorization.

100100109133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 19.

The spelling of 100100109133 in words is "one hundred billion, one hundred million, one hundred nine thousand, one hundred thirty-three".