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13201313131 is a prime number
BaseRepresentation
bin11000100101101110…
…00000110101101011
31021002000121012011101
430102313000311223
5204014014010011
610021541542231
7645066211246
oct142267006553
937060535141
1013201313131
115664884a46
122685114977
131324cc88b6
148d33b025d
15523e6a2c1
hex312dc0d6b

13201313131 has 2 divisors, whose sum is σ = 13201313132. Its totient is φ = 13201313130.

The previous prime is 13201313117. The next prime is 13201313149. The reversal of 13201313131 is 13131310231.

13201313131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13201313131 - 227 = 13067095403 is a prime.

It is a super-2 number, since 2×132013131312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13201313099 and 13201313108.

It is not a weakly prime, because it can be changed into another prime (13201313101) 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, 6600656565 + 6600656566.

It is an arithmetic number, because the mean of its divisors is an integer number (6600656566).

Almost surely, 213201313131 is an apocalyptic number.

13201313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13201313131 is an equidigital number, since it uses as much as digits as its factorization.

13201313131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 13201313131 its reverse (13131310231), we get a palindrome (26332623362).

The spelling of 13201313131 in words is "thirteen billion, two hundred one million, three hundred thirteen thousand, one hundred thirty-one".