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13015313131 is a prime number
BaseRepresentation
bin11000001111100010…
…11110101011101011
31020121001121102010111
430013301132223223
5203123410010011
65551255155151
7640350223222
oct140761365353
936531542114
1013015313131
115579894437
122632975ab7
1312c5603a22
148b67d3cb9
15512979121
hex307c5eaeb

13015313131 has 2 divisors, whose sum is σ = 13015313132. Its totient is φ = 13015313130.

The previous prime is 13015313119. The next prime is 13015313147. The reversal of 13015313131 is 13131351031.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13015313131 - 211 = 13015311083 is a prime.

It is a super-2 number, since 2×130153131312 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13015313111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6507656565 + 6507656566.

It is an arithmetic number, because the mean of its divisors is an integer number (6507656566).

Almost surely, 213015313131 is an apocalyptic number.

13015313131 is a deficient number, since it is larger than the sum of its proper divisors (1).

13015313131 is an equidigital number, since it uses as much as digits as its factorization.

13015313131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 22.

Adding to 13015313131 its reverse (13131351031), we get a palindrome (26146664162).

The spelling of 13015313131 in words is "thirteen billion, fifteen million, three hundred thirteen thousand, one hundred thirty-one".