Search a number
-
+
13323113131331 is a prime number
BaseRepresentation
bin1100000111100000011101…
…1011001110110101000011
31202011200021122212021121202
43001320013123032311003
53221241213430200311
644200315332211415
72543364110036423
oct301700733166503
952150248767552
1013323113131331
114277334036723
1215b2137769b6b
137584971368a3
14340bb0aa4483
15181871050e3b
hexc1e076ced43

13323113131331 has 2 divisors, whose sum is σ = 13323113131332. Its totient is φ = 13323113131330.

The previous prime is 13323113131327. The next prime is 13323113131351. The reversal of 13323113131331 is 13313131132331.

13323113131331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13323113131331 - 22 = 13323113131327 is a prime.

It is a super-2 number, since 2×133231131313312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13323113131294 and 13323113131303.

It is not a weakly prime, because it can be changed into another prime (13323113131351) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6661556565665 + 6661556565666.

It is an arithmetic number, because the mean of its divisors is an integer number (6661556565666).

Almost surely, 213323113131331 is an apocalyptic number.

13323113131331 is a deficient number, since it is larger than the sum of its proper divisors (1).

13323113131331 is an equidigital number, since it uses as much as digits as its factorization.

13323113131331 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4374, while the sum is 29.

Adding to 13323113131331 its reverse (13313131132331), we get a palindrome (26636244263662).

The spelling of 13323113131331 in words is "thirteen trillion, three hundred twenty-three billion, one hundred thirteen million, one hundred thirty-one thousand, three hundred thirty-one".