101000133100001 has 2 divisors, whose sum is σ = 101000133100002. Its totient is φ = 101000133100000.

The previous prime is 101000133099997. The next prime is 101000133100019. The reversal of 101000133100001 is 100001331000101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99400919940001 + 1599213160000 = 9970001^2 + 1264600^2 .

It is a cyclic number.

It is not a de Polignac number, because 101000133100001 - 2² = 101000133099997 is a prime.

It is a super-3 number, since 3×101000133100001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (101000133100201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500066550000 + 50500066550001.

It is an arithmetic number, because the mean of its divisors is an integer number (50500066550001).

Almost surely, 2^{101000133100001} is an apocalyptic number.

It is an amenable number.

101000133100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000133100001 is an equidigital number, since it uses as much as digits as its factorization.

101000133100001 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 11.

Adding to 101000133100001 its reverse (100001331000101), we get a palindrome (201001464100102).

The spelling of 101000133100001 in words is "one hundred one trillion, one hundred thirty-three million, one hundred thousand, one".