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101201318033 is a prime number
BaseRepresentation
bin101111001000000010…
…0011001000010010001
3100200012220010121210012
41132100010121002101
53124230014134113
6114254035244305
710211602003304
oct1362004310221
9320186117705
10101201318033
1139a12562122
1217744149695
13970a675b0a
144c80814b3b
152974935aa8
hex1790119091

101201318033 has 2 divisors, whose sum is σ = 101201318034. Its totient is φ = 101201318032.

The previous prime is 101201317999. The next prime is 101201318069. The reversal of 101201318033 is 330813102101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61230512704 + 39970805329 = 247448^2 + 199927^2 .

It is an emirp because it is prime and its reverse (330813102101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101201318033 - 218 = 101201055889 is a prime.

It is not a weakly prime, because it can be changed into another prime (101201318833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600659016 + 50600659017.

It is an arithmetic number, because the mean of its divisors is an integer number (50600659017).

Almost surely, 2101201318033 is an apocalyptic number.

It is an amenable number.

101201318033 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201318033 is an equidigital number, since it uses as much as digits as its factorization.

101201318033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The spelling of 101201318033 in words is "one hundred one billion, two hundred one million, three hundred eighteen thousand, thirty-three".