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12131402131337 is a prime number
BaseRepresentation
bin1011000010001000111111…
…1010100010011110001001
31120221202021021101000000112
42300202033322202132021
53042230102421200322
641445031133444105
72361315311500226
oct260421772423611
946852237330015
1012131402131337
113957998268a65
12143b192040635
1369cca8c0b018
142dd23d39294d
15160873dea5e2
hexb088fea2789

12131402131337 has 2 divisors, whose sum is σ = 12131402131338. Its totient is φ = 12131402131336.

The previous prime is 12131402131291. The next prime is 12131402131357. The reversal of 12131402131337 is 73313120413121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8008922640016 + 4122479491321 = 2830004^2 + 2030389^2 .

It is a cyclic number.

It is not a de Polignac number, because 12131402131337 - 26 = 12131402131273 is a prime.

It is not a weakly prime, because it can be changed into another prime (12131402131357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065701065668 + 6065701065669.

It is an arithmetic number, because the mean of its divisors is an integer number (6065701065669).

Almost surely, 212131402131337 is an apocalyptic number.

It is an amenable number.

12131402131337 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131402131337 is an equidigital number, since it uses as much as digits as its factorization.

12131402131337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9072, while the sum is 32.

Adding to 12131402131337 its reverse (73313120413121), we get a palindrome (85444522544458).

The spelling of 12131402131337 in words is "twelve trillion, one hundred thirty-one billion, four hundred two million, one hundred thirty-one thousand, three hundred thirty-seven".