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231331321313 is a prime number
BaseRepresentation
bin1101011101110001101…
…0111101010111100001
3211010002212200201101022
43113130122331113201
512242231304240223
6254134441015225
722466414534051
oct3273432752741
9733085621338
10231331321313
118a11a555684
1238a00484515
1318a78467761
14b2a7281561
15603ddc8ac8
hex35dc6bd5e1

231331321313 has 2 divisors, whose sum is σ = 231331321314. Its totient is φ = 231331321312.

The previous prime is 231331321279. The next prime is 231331321321. The reversal of 231331321313 is 313123133132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139444736929 + 91886584384 = 373423^2 + 303128^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231331321313 is a prime.

It is not a weakly prime, because it can be changed into another prime (231331321343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115665660656 + 115665660657.

It is an arithmetic number, because the mean of its divisors is an integer number (115665660657).

Almost surely, 2231331321313 is an apocalyptic number.

It is an amenable number.

231331321313 is a deficient number, since it is larger than the sum of its proper divisors (1).

231331321313 is an equidigital number, since it uses as much as digits as its factorization.

231331321313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2916, while the sum is 26.

Adding to 231331321313 its reverse (313123133132), we get a palindrome (544454454445).

The spelling of 231331321313 in words is "two hundred thirty-one billion, three hundred thirty-one million, three hundred twenty-one thousand, three hundred thirteen".