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331312112213 is a prime number
BaseRepresentation
bin1001101001000111011…
…11011010001001010101
31011200011201012010200212
410310203233122021111
520412011400042323
6412111440215205
732636136326255
oct4644357321125
91150151163625
10331312112213
11118566060695
125426390a505
132531ccaca64
141206d941965
1589415bbb78
hex4d23bda255

331312112213 has 2 divisors, whose sum is σ = 331312112214. Its totient is φ = 331312112212.

The previous prime is 331312112129. The next prime is 331312112251. The reversal of 331312112213 is 312211213133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 203818840369 + 127493271844 = 451463^2 + 357062^2 .

It is a cyclic number.

It is not a de Polignac number, because 331312112213 - 28 = 331312111957 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331312112273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165656056106 + 165656056107.

It is an arithmetic number, because the mean of its divisors is an integer number (165656056107).

Almost surely, 2331312112213 is an apocalyptic number.

It is an amenable number.

331312112213 is a deficient number, since it is larger than the sum of its proper divisors (1).

331312112213 is an equidigital number, since it uses as much as digits as its factorization.

331312112213 is an evil number, because the sum of its binary digits is even.

The product of its digits is 648, while the sum is 23.

Adding to 331312112213 its reverse (312211213133), we get a palindrome (643523325346).

The spelling of 331312112213 in words is "three hundred thirty-one billion, three hundred twelve million, one hundred twelve thousand, two hundred thirteen".