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113133312111353 is a prime number
BaseRepresentation
bin11001101110010011100110…
…111000010111001011111001
3112211120102212001001222210212
4121232103212320113023321
5104312034010400030403
61040340420500320505
732554416640155422
oct3156234670271371
9484512761058725
10113133312111353
1133058628342306
1210831bb13a3135
134b1856bc38a91
141dd1978152649
15d12ccc9614d8
hex66e4e6e172f9

113133312111353 has 2 divisors, whose sum is σ = 113133312111354. Its totient is φ = 113133312111352.

The previous prime is 113133312111307. The next prime is 113133312111371. The reversal of 113133312111353 is 353111213331311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76768999051264 + 36364313060089 = 8761792^2 + 6030283^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113133312111353 is a prime.

It is a super-2 number, since 2×1131333121113532 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113133312011353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56566656055676 + 56566656055677.

It is an arithmetic number, because the mean of its divisors is an integer number (56566656055677).

Almost surely, 2113133312111353 is an apocalyptic number.

It is an amenable number.

113133312111353 is a deficient number, since it is larger than the sum of its proper divisors (1).

113133312111353 is an equidigital number, since it uses as much as digits as its factorization.

113133312111353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 7290, while the sum is 32.

Adding to 113133312111353 its reverse (353111213331311), we get a palindrome (466244525442664).

The spelling of 113133312111353 in words is "one hundred thirteen trillion, one hundred thirty-three billion, three hundred twelve million, one hundred eleven thousand, three hundred fifty-three".