Search a number
-
+
13312221137 is a prime number
BaseRepresentation
bin11000110010111100…
…00101111111010001
31021100202021220100022
430121132011333101
5204230412034022
610040543033225
7650614004225
oct143136057721
937322256308
1013312221137
115711446856
1226b629b815
131341c8b337
14904000785
1552da76c42
hex319785fd1

13312221137 has 2 divisors, whose sum is σ = 13312221138. Its totient is φ = 13312221136.

The previous prime is 13312221107. The next prime is 13312221151. The reversal of 13312221137 is 73112221331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9783385921 + 3528835216 = 98911^2 + 59404^2 .

It is a cyclic number.

It is not a de Polignac number, because 13312221137 - 210 = 13312220113 is a prime.

It is not a weakly prime, because it can be changed into another prime (13312221107) 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, 6656110568 + 6656110569.

It is an arithmetic number, because the mean of its divisors is an integer number (6656110569).

Almost surely, 213312221137 is an apocalyptic number.

It is an amenable number.

13312221137 is a deficient number, since it is larger than the sum of its proper divisors (1).

13312221137 is an equidigital number, since it uses as much as digits as its factorization.

13312221137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1512, while the sum is 26.

Adding to 13312221137 its reverse (73112221331), we get a palindrome (86424442468).

The spelling of 13312221137 in words is "thirteen billion, three hundred twelve million, two hundred twenty-one thousand, one hundred thirty-seven".