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231332301313 is a prime number
BaseRepresentation
bin1101011101110001111…
…0101100101000000001
3211010002221112111200121
43113130132230220001
512242232032120223
6254134514020241
722466426055151
oct3273436545001
9733087474617
10231332301313
118a1200649a3
1238a00877681
1318a7871b839
14b2a7458761
15603e01e15d
hex35dc7aca01

231332301313 has 2 divisors, whose sum is σ = 231332301314. Its totient is φ = 231332301312.

The previous prime is 231332301251. The next prime is 231332301371. The reversal of 231332301313 is 313103233132.

231332301313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229693023169 + 1639278144 = 479263^2 + 40488^2 .

It is a cyclic number.

It is not a de Polignac number, because 231332301313 - 213 = 231332293121 is a prime.

It is not a weakly prime, because it can be changed into another prime (231330301313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115666150656 + 115666150657.

It is an arithmetic number, because the mean of its divisors is an integer number (115666150657).

Almost surely, 2231332301313 is an apocalyptic number.

It is an amenable number.

231332301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

231332301313 is an equidigital number, since it uses as much as digits as its factorization.

231332301313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 231332301313 its reverse (313103233132), we get a palindrome (544435534445).

The spelling of 231332301313 in words is "two hundred thirty-one billion, three hundred thirty-two million, three hundred one thousand, three hundred thirteen".