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13123414331 is a prime number
BaseRepresentation
bin11000011100011011…
…10110100100111011
31020212121000112002122
430032031312210323
5203334043224311
610010120151455
7643132116116
oct141615664473
936777015078
1013123414331
115624909475
12266300858b
131311b22a31
148c6cd357d
1551c1ce0db
hex30e37693b

13123414331 has 2 divisors, whose sum is σ = 13123414332. Its totient is φ = 13123414330.

The previous prime is 13123414303. The next prime is 13123414349. The reversal of 13123414331 is 13341432131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13123414331 - 218 = 13123152187 is a prime.

It is a super-2 number, since 2×131234143312 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13123414331.

It is not a weakly prime, because it can be changed into another prime (13123414391) 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, 6561707165 + 6561707166.

It is an arithmetic number, because the mean of its divisors is an integer number (6561707166).

Almost surely, 213123414331 is an apocalyptic number.

13123414331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13123414331 is an equidigital number, since it uses as much as digits as its factorization.

13123414331 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2592, while the sum is 26.

Adding to 13123414331 its reverse (13341432131), we get a palindrome (26464846462).

The spelling of 13123414331 in words is "thirteen billion, one hundred twenty-three million, four hundred fourteen thousand, three hundred thirty-one".