Search a number
-
+
13032311321 is a prime number
BaseRepresentation
bin11000010001100100…
…10100101000011001
31020122020121000021002
430020302110220121
5203142232430241
65553103354345
7640644550511
oct141062245031
936566530232
1013032311321
115588444427
1226385b29b5
1312c8ca5a23
148b8b7a841
155141d589b
hex308c94a19

13032311321 has 2 divisors, whose sum is σ = 13032311322. Its totient is φ = 13032311320.

The previous prime is 13032311311. The next prime is 13032311381. The reversal of 13032311321 is 12311323031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9269838400 + 3762472921 = 96280^2 + 61339^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13032311321 is a prime.

It is a super-2 number, since 2×130323113212 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13032311293 and 13032311302.

It is not a weakly prime, because it can be changed into another prime (13032311311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6516155660 + 6516155661.

It is an arithmetic number, because the mean of its divisors is an integer number (6516155661).

Almost surely, 213032311321 is an apocalyptic number.

It is an amenable number.

13032311321 is a deficient number, since it is larger than the sum of its proper divisors (1).

13032311321 is an equidigital number, since it uses as much as digits as its factorization.

13032311321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 13032311321 its reverse (12311323031), we get a palindrome (25343634352).

The spelling of 13032311321 in words is "thirteen billion, thirty-two million, three hundred eleven thousand, three hundred twenty-one".