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131232333201113 is a prime number
BaseRepresentation
bin11101110101101011101000…
…100110100111111011011001
3122012122200120221100012100102
4131311223220212213323121
5114200102304244413423
61143035145051145145
736433136361115124
oct3565535046477331
9565580527305312
10131232333201113
11388a6357965931
1212875856a451b5
13582c204733151
1424599709633bb
1510289c2b3bc28
hex775ae89a7ed9

131232333201113 has 2 divisors, whose sum is σ = 131232333201114. Its totient is φ = 131232333201112.

The previous prime is 131232333201107. The next prime is 131232333201119. The reversal of 131232333201113 is 311102333232131.

It is a balanced prime because it is at equal distance from previous prime (131232333201107) and next prime (131232333201119).

It can be written as a sum of positive squares in only one way, i.e., 66590218640089 + 64642114561024 = 8160283^2 + 8040032^2 .

It is a cyclic number.

It is not a de Polignac number, because 131232333201113 - 218 = 131232332938969 is a prime.

It is not a weakly prime, because it can be changed into another prime (131232333201119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65616166600556 + 65616166600557.

It is an arithmetic number, because the mean of its divisors is an integer number (65616166600557).

Almost surely, 2131232333201113 is an apocalyptic number.

It is an amenable number.

131232333201113 is a deficient number, since it is larger than the sum of its proper divisors (1).

131232333201113 is an equidigital number, since it uses as much as digits as its factorization.

131232333201113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832, while the sum is 29.

Adding to 131232333201113 its reverse (311102333232131), we get a palindrome (442334666433244).

The spelling of 131232333201113 in words is "one hundred thirty-one trillion, two hundred thirty-two billion, three hundred thirty-three million, two hundred one thousand, one hundred thirteen".