Search a number
-
+
13300123310281 is a prime number
BaseRepresentation
bin1100000110001010110100…
…1000000001100011001001
31202002110221110110100221001
43001202231020001203021
53220402123031412111
644141554200415001
72541621311553163
oct301425510014311
952073843410831
1013300123310281
114268606969915
1215a97a0477461
137562721cc892
1433da2d6a5933
15180e77aa21c1
hexc18ad2018c9

13300123310281 has 2 divisors, whose sum is σ = 13300123310282. Its totient is φ = 13300123310280.

The previous prime is 13300123310231. The next prime is 13300123310347. The reversal of 13300123310281 is 18201332100331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7065713575881 + 6234409734400 = 2658141^2 + 2496880^2 .

It is a cyclic number.

It is not a de Polignac number, because 13300123310281 - 235 = 13265763571913 is a prime.

It is a super-2 number, since 2×133001233102812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (13300123310231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6650061655140 + 6650061655141.

It is an arithmetic number, because the mean of its divisors is an integer number (6650061655141).

Almost surely, 213300123310281 is an apocalyptic number.

It is an amenable number.

13300123310281 is a deficient number, since it is larger than the sum of its proper divisors (1).

13300123310281 is an equidigital number, since it uses as much as digits as its factorization.

13300123310281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 13300123310281 in words is "thirteen trillion, three hundred billion, one hundred twenty-three million, three hundred ten thousand, two hundred eighty-one".