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331022213102131 is a prime number
BaseRepresentation
bin100101101000100000001110…
…1011011001011101000110011
31121102001102012011221021110121
41023101000131123023220303
5321341431443023232011
63132005301053511111
7126503365012161115
oct11321003533135063
91542042164837417
10331022213102131
1196523806623911
12311623a54a2497
1311292350b556c5
145ba57bc3dd3b5
1528409aa073e71
hex12d101d6cba33

331022213102131 has 2 divisors, whose sum is σ = 331022213102132. Its totient is φ = 331022213102130.

The previous prime is 331022213102117. The next prime is 331022213102143. The reversal of 331022213102131 is 131201312220133.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 331022213102131 - 217 = 331022212971059 is a prime.

It is a super-2 number, since 2×3310222131021312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331022213102096 and 331022213102105.

It is not a weakly prime, because it can be changed into another prime (331022213102111) 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, 165511106551065 + 165511106551066.

It is an arithmetic number, because the mean of its divisors is an integer number (165511106551066).

Almost surely, 2331022213102131 is an apocalyptic number.

331022213102131 is a deficient number, since it is larger than the sum of its proper divisors (1).

331022213102131 is an equidigital number, since it uses as much as digits as its factorization.

331022213102131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 331022213102131 its reverse (131201312220133), we get a palindrome (462223525322264).

The spelling of 331022213102131 in words is "three hundred thirty-one trillion, twenty-two billion, two hundred thirteen million, one hundred two thousand, one hundred thirty-one".