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13133131331 is a prime number
BaseRepresentation
bin11000011101100101…
…11010111001000011
31020220021022012022112
430032302322321003
5203344040200311
610011104325535
7643310526425
oct141662727103
936807265275
1013133131331
11562a345a51
1226663138ab
131313b45838
148c8302815
1551ce9d28b
hex30ecbae43

13133131331 has 2 divisors, whose sum is σ = 13133131332. Its totient is φ = 13133131330.

The previous prime is 13133131327. The next prime is 13133131367. The reversal of 13133131331 is 13313133131.

It is a weak prime.

It is an emirp because it is prime and its reverse (13313133131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13133131331 - 22 = 13133131327 is a prime.

It is a super-2 number, since 2×131331313312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13133131297 and 13133131306.

It is not a weakly prime, because it can be changed into another prime (13133131321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566565665 + 6566565666.

It is an arithmetic number, because the mean of its divisors is an integer number (6566565666).

Almost surely, 213133131331 is an apocalyptic number.

13133131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133131331 is an equidigital number, since it uses as much as digits as its factorization.

13133131331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 729, while the sum is 23.

Adding to 13133131331 its reverse (13313133131), we get a palindrome (26446264462).

The spelling of 13133131331 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred thirty-one".