Search a number
-
+
13121133300221 is a prime number
BaseRepresentation
bin1011111011110000000001…
…1111010100100111111101
31201110100221100011202102012
42332330000133110213331
53204434040111101341
643523433155341005
72522653625562152
oct276740037244775
951410840152365
1013121133300221
1141a9706754071
12157ab68bb1765
137424188b261b
143350cda98229
1517b49dda00eb
hexbef007d49fd

13121133300221 has 2 divisors, whose sum is σ = 13121133300222. Its totient is φ = 13121133300220.

The previous prime is 13121133300137. The next prime is 13121133300271. The reversal of 13121133300221 is 12200333112131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13120586395225 + 546904996 = 3622235^2 + 23386^2 .

It is an emirp because it is prime and its reverse (12200333112131) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13121133300221 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13121133300271) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6560566650110 + 6560566650111.

It is an arithmetic number, because the mean of its divisors is an integer number (6560566650111).

Almost surely, 213121133300221 is an apocalyptic number.

It is an amenable number.

13121133300221 is a deficient number, since it is larger than the sum of its proper divisors (1).

13121133300221 is an equidigital number, since it uses as much as digits as its factorization.

13121133300221 is an evil number, because the sum of its binary digits is even.

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

Adding to 13121133300221 its reverse (12200333112131), we get a palindrome (25321466412352).

The spelling of 13121133300221 in words is "thirteen trillion, one hundred twenty-one billion, one hundred thirty-three million, three hundred thousand, two hundred twenty-one".