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231332121313 is a prime number
BaseRepresentation
bin1101011101110001111…
…0000000101011100001
3211010002221012100202221
43113130132000223201
512242232010340223
6254134510111041
722466424405316
oct3273436005341
9733087170687
10231332121313
118a11aa51737
1238a007ab481
1318a78687927
14b2a740cd0d
15603ded5b5d
hex35dc780ae1

231332121313 has 2 divisors, whose sum is σ = 231332121314. Its totient is φ = 231332121312.

The previous prime is 231332121311. The next prime is 231332121323. The reversal of 231332121313 is 313121233132.

231332121313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 217835025984 + 13497095329 = 466728^2 + 116177^2 .

It is a cyclic number.

It is not a de Polignac number, because 231332121313 - 21 = 231332121311 is a prime.

Together with 231332121311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (231332121311) 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, 115666060656 + 115666060657.

It is an arithmetic number, because the mean of its divisors is an integer number (115666060657).

Almost surely, 2231332121313 is an apocalyptic number.

It is an amenable number.

231332121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

231332121313 is an equidigital number, since it uses as much as digits as its factorization.

231332121313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1944, while the sum is 25.

Adding to 231332121313 its reverse (313121233132), we get a palindrome (544453354445).

The spelling of 231332121313 in words is "two hundred thirty-one billion, three hundred thirty-two million, one hundred twenty-one thousand, three hundred thirteen".