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113311113313 is a prime number
BaseRepresentation
bin110100110000111011…
…1100110000001100001
3101211110211211221221111
41221201313212001201
53324030121111223
6124015430223321
711120645400016
oct1514167460141
9354424757844
10113311113313
11440671955a2
1219b637b4b41
13a8ba4a0758
1456acc5370d
152e32b4330d
hex1a61de6061

113311113313 has 2 divisors, whose sum is σ = 113311113314. Its totient is φ = 113311113312.

The previous prime is 113311113281. The next prime is 113311113323. The reversal of 113311113313 is 313311113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 110707256529 + 2603856784 = 332727^2 + 51028^2 .

It is a cyclic number.

It is not a de Polignac number, because 113311113313 - 25 = 113311113281 is a prime.

It is not a weakly prime, because it can be changed into another prime (113311113323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56655556656 + 56655556657.

It is an arithmetic number, because the mean of its divisors is an integer number (56655556657).

Almost surely, 2113311113313 is an apocalyptic number.

It is an amenable number.

113311113313 is a deficient number, since it is larger than the sum of its proper divisors (1).

113311113313 is an equidigital number, since it uses as much as digits as its factorization.

113311113313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 243, while the sum is 22.

Adding to 113311113313 its reverse (313311113311), we get a palindrome (426622226624).

The spelling of 113311113313 in words is "one hundred thirteen billion, three hundred eleven million, one hundred thirteen thousand, three hundred thirteen".