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133100333101 is a prime number
BaseRepresentation
bin111101111110101100…
…1011110100000101101
3110201112222202111002201
41323331121132200231
54140042141124401
6141051230021501
712421231110241
oct1737531364055
9421488674081
10133100333101
11514a173929a
1221967047891
13c7222b8368
14662914c421
1536e0125b01
hex1efd65e82d

133100333101 has 2 divisors, whose sum is σ = 133100333102. Its totient is φ = 133100333100.

The previous prime is 133100333081. The next prime is 133100333131. The reversal of 133100333101 is 101333001331.

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., 132357716100 + 742617001 = 363810^2 + 27251^2 .

It is a cyclic number.

It is not a de Polignac number, because 133100333101 - 231 = 130952849453 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (133100333131) 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, 66550166550 + 66550166551.

It is an arithmetic number, because the mean of its divisors is an integer number (66550166551).

Almost surely, 2133100333101 is an apocalyptic number.

It is an amenable number.

133100333101 is a deficient number, since it is larger than the sum of its proper divisors (1).

133100333101 is an equidigital number, since it uses as much as digits as its factorization.

133100333101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 133100333101 its reverse (101333001331), we get a palindrome (234433334432).

The spelling of 133100333101 in words is "one hundred thirty-three billion, one hundred million, three hundred thirty-three thousand, one hundred one".