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12131213132273 is a prime number
BaseRepresentation
bin1011000010001000010010…
…1001100100000111110001
31120221201210002201212001012
42300202010221210013301
53042224211030213043
641445000302520305
72361310525151444
oct260420451440761
946851702655035
1012131213132273
11395790060a194
12143b13a896095
1369cc78a06061
142dd22223565b
15160862515a18
hexb0884a641f1

12131213132273 has 2 divisors, whose sum is σ = 12131213132274. Its totient is φ = 12131213132272.

The previous prime is 12131213132149. The next prime is 12131213132341. The reversal of 12131213132273 is 37223131213121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11083153164769 + 1048059967504 = 3329137^2 + 1023748^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131213132273 is a prime.

It is not a weakly prime, because it can be changed into another prime (12131213134273) 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, 6065606566136 + 6065606566137.

It is an arithmetic number, because the mean of its divisors is an integer number (6065606566137).

Almost surely, 212131213132273 is an apocalyptic number.

It is an amenable number.

12131213132273 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131213132273 is an equidigital number, since it uses as much as digits as its factorization.

12131213132273 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12131213132273 its reverse (37223131213121), we get a palindrome (49354344345394).

The spelling of 12131213132273 in words is "twelve trillion, one hundred thirty-one billion, two hundred thirteen million, one hundred thirty-two thousand, two hundred seventy-three".