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13110013331 is a prime number
BaseRepresentation
bin11000011010110101…
…01110110110010011
31020211122210200101022
430031122232312103
5203322130411311
610004521030055
7642610163132
oct141532566623
936748720338
1013110013331
115618296068
12265a62532b
13130c11014c
148c5205919
1551ae335db
hex30d6aed93

13110013331 has 2 divisors, whose sum is σ = 13110013332. Its totient is φ = 13110013330.

The previous prime is 13110013309. The next prime is 13110013373. The reversal of 13110013331 is 13331001131.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13110013331 is a prime.

It is a super-2 number, since 2×131100133312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (13110013381) 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, 6555006665 + 6555006666.

It is an arithmetic number, because the mean of its divisors is an integer number (6555006666).

Almost surely, 213110013331 is an apocalyptic number.

13110013331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13110013331 is an equidigital number, since it uses as much as digits as its factorization.

13110013331 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 13110013331 its reverse (13331001131), we get a palindrome (26441014462).

The spelling of 13110013331 in words is "thirteen billion, one hundred ten million, thirteen thousand, three hundred thirty-one".