Search a number
-
+
133211231303113 is a prime number
BaseRepresentation
bin11110010010011110101000…
…000111110011010111001001
3122110122212110202020120011201
4132102132220013303113021
5114430013100203144423
61151152221141224201
740026123331336525
oct3622365007632711
9573585422216151
10133211231303113
1139499625296397
1212b3528ba02061
1359439c4226032
1424c765aa56d85
1510601e32902ad
hex7927a81f35c9

133211231303113 has 2 divisors, whose sum is σ = 133211231303114. Its totient is φ = 133211231303112.

The previous prime is 133211231303063. The next prime is 133211231303123. The reversal of 133211231303113 is 311303132112331.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90153657725184 + 43057573577929 = 9494928^2 + 6561827^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-133211231303113 is a prime.

It is not a weakly prime, because it can be changed into another prime (133211231303123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66605615651556 + 66605615651557.

It is an arithmetic number, because the mean of its divisors is an integer number (66605615651557).

Almost surely, 2133211231303113 is an apocalyptic number.

It is an amenable number.

133211231303113 is a deficient number, since it is larger than the sum of its proper divisors (1).

133211231303113 is an equidigital number, since it uses as much as digits as its factorization.

133211231303113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 28.

Adding to 133211231303113 its reverse (311303132112331), we get a palindrome (444514363415444).

The spelling of 133211231303113 in words is "one hundred thirty-three trillion, two hundred eleven billion, two hundred thirty-one million, three hundred three thousand, one hundred thirteen".