Search a number
-
+
13133312012201 is a prime number
BaseRepresentation
bin1011111100011101011001…
…1001011010111110101001
31201111112101002120102111212
42333013112121122332221
53210134010333342301
643533205451402505
72523564500121113
oct277072631327651
951445332512455
1013133312012201
114203896278697
1215813a7753435
13743609a89984
143359273163b3
1517b9631724bb
hexbf1d665afa9

13133312012201 has 2 divisors, whose sum is σ = 13133312012202. Its totient is φ = 13133312012200.

The previous prime is 13133312012147. The next prime is 13133312012239. The reversal of 13133312012201 is 10221021333131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7028834928025 + 6104477084176 = 2651195^2 + 2470724^2 .

It is a cyclic number.

It is not a de Polignac number, because 13133312012201 - 218 = 13133311750057 is a prime.

It is not a weakly prime, because it can be changed into another prime (13133312012281) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6566656006100 + 6566656006101.

It is an arithmetic number, because the mean of its divisors is an integer number (6566656006101).

Almost surely, 213133312012201 is an apocalyptic number.

It is an amenable number.

13133312012201 is a deficient number, since it is larger than the sum of its proper divisors (1).

13133312012201 is an equidigital number, since it uses as much as digits as its factorization.

13133312012201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 13133312012201 its reverse (10221021333131), we get a palindrome (23354333345332).

The spelling of 13133312012201 in words is "thirteen trillion, one hundred thirty-three billion, three hundred twelve million, twelve thousand, two hundred one".