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13321203131 is a prime number
BaseRepresentation
bin11000110100000000…
…10110110110111011
31021101101012020022202
430122000112312323
5204240212000011
610041503340415
7651053233625
oct143200266673
937341166282
1013321203131
115716521095
1226b92b170b
131343ab4722
1490529bc15
1552e74d23b
hex31a016dbb

13321203131 has 2 divisors, whose sum is σ = 13321203132. Its totient is φ = 13321203130.

The previous prime is 13321203053. The next prime is 13321203143. The reversal of 13321203131 is 13130212331.

13321203131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13321203131 is a prime.

It is a super-2 number, since 2×133212031312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13321503131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660601565 + 6660601566.

It is an arithmetic number, because the mean of its divisors is an integer number (6660601566).

Almost surely, 213321203131 is an apocalyptic number.

13321203131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321203131 is an equidigital number, since it uses as much as digits as its factorization.

13321203131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13321203131 its reverse (13130212331), we get a palindrome (26451415462).

The spelling of 13321203131 in words is "thirteen billion, three hundred twenty-one million, two hundred three thousand, one hundred thirty-one".