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13322103131 is a prime number
BaseRepresentation
bin11000110100000111…
…10010100101011011
31021101102212221220002
430122003302211123
5204240424300011
610041534523215
7651064002551
oct143203624533
937342787802
1013322103131
115716a86297
1226b966650b
13134403b27c
14905453bd1
1552e879c3b
hex31a0f295b

13322103131 has 2 divisors, whose sum is σ = 13322103132. Its totient is φ = 13322103130.

The previous prime is 13322103083. The next prime is 13322103149. The reversal of 13322103131 is 13130122331.

13322103131 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-13322103131 is a prime.

It is a super-2 number, since 2×133221031312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13322103331) 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, 6661051565 + 6661051566.

It is an arithmetic number, because the mean of its divisors is an integer number (6661051566).

Almost surely, 213322103131 is an apocalyptic number.

13322103131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13322103131 is an equidigital number, since it uses as much as digits as its factorization.

13322103131 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 13322103131 its reverse (13130122331), we get a palindrome (26452225462).

The spelling of 13322103131 in words is "thirteen billion, three hundred twenty-two million, one hundred three thousand, one hundred thirty-one".