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11331312133181 is a prime number
BaseRepresentation
bin1010010011100100011011…
…0101011010010000111101
31111010021002121212212202212
42210321012311122100331
52441123011401230211
640033311040230205
72246442322641005
oct244710665322075
944107077785685
1011331312133181
113679645324327
12133010160b365
136426cc410501
142b261d0c1005
15149b47c7c38b
hexa4e46d5a43d

11331312133181 has 2 divisors, whose sum is σ = 11331312133182. Its totient is φ = 11331312133180.

The previous prime is 11331312133093. The next prime is 11331312133201. The reversal of 11331312133181 is 18133121313311.

11331312133181 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9471061645081 + 1860250488100 = 3077509^2 + 1363910^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331312133181 - 226 = 11331245024317 is a prime.

It is a super-2 number, since 2×113313121331812 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11331312136181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665656066590 + 5665656066591.

It is an arithmetic number, because the mean of its divisors is an integer number (5665656066591).

Almost surely, 211331312133181 is an apocalyptic number.

It is an amenable number.

11331312133181 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331312133181 is an equidigital number, since it uses as much as digits as its factorization.

11331312133181 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3888, while the sum is 32.

Adding to 11331312133181 its reverse (18133121313311), we get a palindrome (29464433446492).

The spelling of 11331312133181 in words is "eleven trillion, three hundred thirty-one billion, three hundred twelve million, one hundred thirty-three thousand, one hundred eighty-one".