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12131113033201 is a prime number
BaseRepresentation
bin1011000010000111111010…
…1011101101110111110001
31120221201112010101021221011
42300201332223231313301
53042224004414030301
641444542325230521
72361305201264431
oct260417653556761
946851463337834
1012131113033201
11395785a060288
12143b111262441
1369cc61059436
142dd212c1a2c1
15160858841a51
hexb087eaeddf1

12131113033201 has 2 divisors, whose sum is σ = 12131113033202. Its totient is φ = 12131113033200.

The previous prime is 12131113033159. The next prime is 12131113033297. The reversal of 12131113033201 is 10233031113121.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9924925648225 + 2206187384976 = 3150385^2 + 1485324^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12131113033201 is a prime.

It is not a weakly prime, because it can be changed into another prime (12131113033301) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6065556516600 + 6065556516601.

It is an arithmetic number, because the mean of its divisors is an integer number (6065556516601).

Almost surely, 212131113033201 is an apocalyptic number.

It is an amenable number.

12131113033201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12131113033201 is an equidigital number, since it uses as much as digits as its factorization.

12131113033201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 12131113033201 its reverse (10233031113121), we get a palindrome (22364144146322).

The spelling of 12131113033201 in words is "twelve trillion, one hundred thirty-one billion, one hundred thirteen million, thirty-three thousand, two hundred one".