100011133011301 has 2 divisors, whose sum is σ = 100011133011302. Its totient is φ = 100011133011300.

The previous prime is 100011133011299. The next prime is 100011133011323. The reversal of 100011133011301 is 103110331110001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90052223472225 + 9958909539076 = 9489585^2 + 3155774^2 .

It is a cyclic number.

It is not a de Polignac number, because 100011133011301 - 2¹ = 100011133011299 is a prime.

Together with 100011133011299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100011133011901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005566505650 + 50005566505651.

It is an arithmetic number, because the mean of its divisors is an integer number (50005566505651).

Almost surely, 2^{100011133011301} is an apocalyptic number.

It is an amenable number.

100011133011301 is a deficient number, since it is larger than the sum of its proper divisors (1).

100011133011301 is an equidigital number, since it uses as much as digits as its factorization.

100011133011301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 100011133011301 its reverse (103110331110001), we get a palindrome (203121464121302).

The spelling of 100011133011301 in words is "one hundred trillion, eleven billion, one hundred thirty-three million, eleven thousand, three hundred one".