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2313133135073 is a prime number
BaseRepresentation
bin100001101010010001011…
…110101001010011100001
322012010121020002021011022
4201222101132221103201
5300344244040310243
64530345542455225
7326055411144065
oct41522136512341
98163536067138
102313133135073
11811aa3395922
12314373734515
1313a18720a407
147dd55cd5aa5
154028363ab68
hex21a917a94e1

2313133135073 has 2 divisors, whose sum is σ = 2313133135074. Its totient is φ = 2313133135072.

The previous prime is 2313133135067. The next prime is 2313133135151. The reversal of 2313133135073 is 3705313313132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2159979877969 + 153153257104 = 1469687^2 + 391348^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313133135073 - 24 = 2313133135057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2313133135003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156566567536 + 1156566567537.

It is an arithmetic number, because the mean of its divisors is an integer number (1156566567537).

Almost surely, 22313133135073 is an apocalyptic number.

It is an amenable number.

2313133135073 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313133135073 is an equidigital number, since it uses as much as digits as its factorization.

2313133135073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51030, while the sum is 35.

The spelling of 2313133135073 in words is "two trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred thirty-five thousand, seventy-three".