Search a number
-
+
1313124333329 is a prime number
BaseRepresentation
bin10011000110111100010…
…011110011011100010001
311122112101220002122221202
4103012330103303130101
5133003234312131304
62443124015400545
7163604305446014
oct23067423633421
94575356078852
101313124333329
114669904a9066
121925aa823155
1396a9a17c553
14477ac63b37b
152425623681e
hex131bc4f3711

1313124333329 has 2 divisors, whose sum is σ = 1313124333330. Its totient is φ = 1313124333328.

The previous prime is 1313124333319. The next prime is 1313124333359. The reversal of 1313124333329 is 9233334213131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 935907260929 + 377217072400 = 967423^2 + 614180^2 .

It is a cyclic number.

It is not a de Polignac number, because 1313124333329 - 236 = 1244404856593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313124333292 and 1313124333301.

It is not a weakly prime, because it can be changed into another prime (1313124333319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656562166664 + 656562166665.

It is an arithmetic number, because the mean of its divisors is an integer number (656562166665).

Almost surely, 21313124333329 is an apocalyptic number.

It is an amenable number.

1313124333329 is a deficient number, since it is larger than the sum of its proper divisors (1).

1313124333329 is an equidigital number, since it uses as much as digits as its factorization.

1313124333329 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 104976, while the sum is 38.

The spelling of 1313124333329 in words is "one trillion, three hundred thirteen billion, one hundred twenty-four million, three hundred thirty-three thousand, three hundred twenty-nine".