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12113205334513 is a prime number
BaseRepresentation
bin1011000001000101001101…
…0011010001000111110001
31120220000022002212221111121
42300101103103101013301
53041430321031201023
641432421341142241
72360102343331363
oct260212323210761
946800262787447
1012113205334513
1139501aa6911a8
121437753b5a981
1369b368ca541a
142dc3d4778d33
1516015b61bd5d
hexb04534d11f1

12113205334513 has 2 divisors, whose sum is σ = 12113205334514. Its totient is φ = 12113205334512.

The previous prime is 12113205334441. The next prime is 12113205334519. The reversal of 12113205334513 is 31543350231121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6689816715024 + 5423388619489 = 2586468^2 + 2328817^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12113205334513 is a prime.

It is not a weakly prime, because it can be changed into another prime (12113205334519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6056602667256 + 6056602667257.

It is an arithmetic number, because the mean of its divisors is an integer number (6056602667257).

Almost surely, 212113205334513 is an apocalyptic number.

It is an amenable number.

12113205334513 is a deficient number, since it is larger than the sum of its proper divisors (1).

12113205334513 is an equidigital number, since it uses as much as digits as its factorization.

12113205334513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 34.

Adding to 12113205334513 its reverse (31543350231121), we get a palindrome (43656555565634).

The spelling of 12113205334513 in words is "twelve trillion, one hundred thirteen billion, two hundred five million, three hundred thirty-four thousand, five hundred thirteen".