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301013130133 is a prime number
BaseRepresentation
bin1000110000101011100…
…01111101101110010101
31001202222010022101000101
410120111301331232111
514412433330131013
6350141124014101
730514246250452
oct4302561755625
91052863271011
10301013130133
11106728078a31
124a408831331
13225019b52b1
14107d790a829
157c6b5d58dd
hex4615c7db95

301013130133 has 2 divisors, whose sum is σ = 301013130134. Its totient is φ = 301013130132.

The previous prime is 301013130107. The next prime is 301013130139. The reversal of 301013130133 is 331031310103.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 293409638929 + 7603491204 = 541673^2 + 87198^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-301013130133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 301013130133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301013130139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150506565066 + 150506565067.

It is an arithmetic number, because the mean of its divisors is an integer number (150506565067).

Almost surely, 2301013130133 is an apocalyptic number.

It is an amenable number.

301013130133 is a deficient number, since it is larger than the sum of its proper divisors (1).

301013130133 is an equidigital number, since it uses as much as digits as its factorization.

301013130133 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 301013130133 its reverse (331031310103), we get a palindrome (632044440236).

The spelling of 301013130133 in words is "three hundred one billion, thirteen million, one hundred thirty thousand, one hundred thirty-three".