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113011312033 is a prime number
BaseRepresentation
bin110100100111111111…
…1111100010110100001
3101210200221201110220101
41221033333330112201
53322421343441113
6123530000342401
711110345205554
oct1511777742641
9353627643811
10113011312033
1143a22a37444
1219a9b314a01
13a870342249
1456810d269b
152e166732dd
hex1a4fffc5a1

113011312033 has 2 divisors, whose sum is σ = 113011312034. Its totient is φ = 113011312032.

The previous prime is 113011311989. The next prime is 113011312039. The reversal of 113011312033 is 330213110311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77889553569 + 35121758464 = 279087^2 + 187408^2 .

It is a cyclic number.

It is not a de Polignac number, because 113011312033 - 29 = 113011311521 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 113011312033.

It is not a weakly prime, because it can be changed into another prime (113011312039) 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, 56505656016 + 56505656017.

It is an arithmetic number, because the mean of its divisors is an integer number (56505656017).

Almost surely, 2113011312033 is an apocalyptic number.

It is an amenable number.

113011312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

113011312033 is an equidigital number, since it uses as much as digits as its factorization.

113011312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 113011312033 its reverse (330213110311), we get a palindrome (443224422344).

The spelling of 113011312033 in words is "one hundred thirteen billion, eleven million, three hundred twelve thousand, thirty-three".