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331222013310113 is a prime number
BaseRepresentation
bin100101101001111101010001…
…0011100011111010010100001
31121102202111220121021110211122
41023103322202130133102201
5321403220140401410423
63132241143045422025
7126524000156005112
oct11323724234372241
91542674817243748
10331222013310113
11965a0515634342
123119506610a915
13112a8142961143
145bb1333b54209
152845ca0bd08c8
hex12d3ea271f4a1

331222013310113 has 2 divisors, whose sum is σ = 331222013310114. Its totient is φ = 331222013310112.

The previous prime is 331222013310109. The next prime is 331222013310229. The reversal of 331222013310113 is 311013310222133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260271849841249 + 70950163468864 = 16132943^2 + 8423192^2 .

It is a cyclic number.

It is not a de Polignac number, because 331222013310113 - 22 = 331222013310109 is a prime.

It is a super-2 number, since 2×3312220133101132 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (331222013310613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165611006655056 + 165611006655057.

It is an arithmetic number, because the mean of its divisors is an integer number (165611006655057).

Almost surely, 2331222013310113 is an apocalyptic number.

It is an amenable number.

331222013310113 is a deficient number, since it is larger than the sum of its proper divisors (1).

331222013310113 is an equidigital number, since it uses as much as digits as its factorization.

331222013310113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 331222013310113 its reverse (311013310222133), we get a palindrome (642235323532246).

The spelling of 331222013310113 in words is "three hundred thirty-one trillion, two hundred twenty-two billion, thirteen million, three hundred ten thousand, one hundred thirteen".