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231332123330137 is a prime number
BaseRepresentation
bin110100100110010100110101…
…000010010100011001011001
31010100002010122102101112000201
4310212110311002110121121
5220310121142033031022
62140000302122502201
766504123445340224
oct6446246502243131
91110063572345021
10231332123330137
1167789447892a15
1221b41870064961
139c106aaa565cb
14411a76a9a45bb
151bb272cedc127
hexd26535094659

231332123330137 has 2 divisors, whose sum is σ = 231332123330138. Its totient is φ = 231332123330136.

The previous prime is 231332123330083. The next prime is 231332123330167. The reversal of 231332123330137 is 731033321233132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 168506906202441 + 62825217127696 = 12981021^2 + 7926236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231332123330137 is a prime.

It is a super-3 number, since 3×2313321233301373 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231332123330096 and 231332123330105.

It is not a weakly prime, because it can be changed into another prime (231332123330167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115666061665068 + 115666061665069.

It is an arithmetic number, because the mean of its divisors is an integer number (115666061665069).

Almost surely, 2231332123330137 is an apocalyptic number.

It is an amenable number.

231332123330137 is a deficient number, since it is larger than the sum of its proper divisors (1).

231332123330137 is an equidigital number, since it uses as much as digits as its factorization.

231332123330137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 122472, while the sum is 37.

Adding to 231332123330137 its reverse (731033321233132), we get a palindrome (962365444563269).

The spelling of 231332123330137 in words is "two hundred thirty-one trillion, three hundred thirty-two billion, one hundred twenty-three million, three hundred thirty thousand, one hundred thirty-seven".