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13122231130213 is a prime number
BaseRepresentation
bin1011111011110100000111…
…1011001101100001100101
31201110110202211221022001021
42332331001323031201211
53204443312132131323
643524134133531141
72523023056146532
oct276750173154145
951413684838037
1013122231130213
1141aa11a416a87
12157b2147a3ab1
1374256218367a
143351957cdd89
1517b51545805d
hexbef41ecd865

13122231130213 has 2 divisors, whose sum is σ = 13122231130214. Its totient is φ = 13122231130212.

The previous prime is 13122231130189. The next prime is 13122231130231. The reversal of 13122231130213 is 31203113222131.

Together with next prime (13122231130231) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6930882879649 + 6191348250564 = 2632657^2 + 2488242^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13122231130213 is a prime.

It is a super-2 number, since 2×131222311302132 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13122231130273) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6561115565106 + 6561115565107.

It is an arithmetic number, because the mean of its divisors is an integer number (6561115565107).

Almost surely, 213122231130213 is an apocalyptic number.

It is an amenable number.

13122231130213 is a deficient number, since it is larger than the sum of its proper divisors (1).

13122231130213 is an equidigital number, since it uses as much as digits as its factorization.

13122231130213 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 13122231130213 its reverse (31203113222131), we get a palindrome (44325344352344).

The spelling of 13122231130213 in words is "thirteen trillion, one hundred twenty-two billion, two hundred thirty-one million, one hundred thirty thousand, two hundred thirteen".