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113311312033 is a prime number
BaseRepresentation
bin110100110000111100…
…0010110100010100001
3101211110212020001112111
41221201320112202201
53324030143441113
6124015434355321
711120650155253
oct1514170264241
9354425201474
10113311312033
1144067310927
1219b6388bb41
13a8ba54003a
1456acca5cd3
152e32b8213d
hex1a61e168a1

113311312033 has 2 divisors, whose sum is σ = 113311312034. Its totient is φ = 113311312032.

The previous prime is 113311312031. The next prime is 113311312039. The reversal of 113311312033 is 330213113311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91498385169 + 21812926864 = 302487^2 + 147692^2 .

It is a cyclic number.

It is not a de Polignac number, because 113311312033 - 21 = 113311312031 is a prime.

Together with 113311312031, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 113311311995 and 113311312013.

It is not a weakly prime, because it can be changed into another prime (113311312031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56655656016 + 56655656017.

It is an arithmetic number, because the mean of its divisors is an integer number (56655656017).

Almost surely, 2113311312033 is an apocalyptic number.

It is an amenable number.

113311312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

113311312033 is an equidigital number, since it uses as much as digits as its factorization.

113311312033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 113311312033 its reverse (330213113311), we get a palindrome (443524425344).

The spelling of 113311312033 in words is "one hundred thirteen billion, three hundred eleven million, three hundred twelve thousand, thirty-three".