100101000133 has 2 divisors, whose sum is σ = 100101000134. Its totient is φ = 100101000132.

The previous prime is 100101000119. The next prime is 100101000161. The reversal of 100101000133 is 331000101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97814439009 + 2286561124 = 312753^2 + 47818^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100101000133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100101000733) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500066 + 50050500067.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500067).

Almost surely, 2^100101000133 is an apocalyptic number.

It is an amenable number.

100101000133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101000133 is an equidigital number, since it uses as much as digits as its factorization.

100101000133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 100101000133 its reverse (331000101001), we get a palindrome (431101101134).

The spelling of 100101000133 in words is "one hundred billion, one hundred one million, one hundred thirty-three", and thus it is an aban number.