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100201323133 is a prime number
BaseRepresentation
bin101110101010001110…
…1101101101001111101
3100120122012110121200001
41131110131231221331
53120203014320013
6114010514034301
710145040123262
oct1352435555175
9316565417601
10100201323133
113954a04215a
1217505278991
1395ab43b062
144bc7aa9269
152916c55ddd
hex175476da7d

100201323133 has 2 divisors, whose sum is σ = 100201323134. Its totient is φ = 100201323132.

The previous prime is 100201323121. The next prime is 100201323137. The reversal of 100201323133 is 331323102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99428594329 + 772728804 = 315323^2 + 27798^2 .

It is an emirp because it is prime and its reverse (331323102001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100201323133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100201323133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100201323137) 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, 50100661566 + 50100661567.

It is an arithmetic number, because the mean of its divisors is an integer number (50100661567).

Almost surely, 2100201323133 is an apocalyptic number.

It is an amenable number.

100201323133 is a deficient number, since it is larger than the sum of its proper divisors (1).

100201323133 is an equidigital number, since it uses as much as digits as its factorization.

100201323133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 100201323133 its reverse (331323102001), we get a palindrome (431524425134).

The spelling of 100201323133 in words is "one hundred billion, two hundred one million, three hundred twenty-three thousand, one hundred thirty-three".