Search a number
-
+
13104440304133 is a prime number
BaseRepresentation
bin1011111010110001110110…
…0000100110001000000101
31201101202211222100200200211
42332230131200212020011
53204200343204213013
643512032522435421
72521523150501113
oct276543540461005
951352758320624
1013104440304133
1141a261aa13032
12157788a662b71
1374098839cc49
14334388a92ab3
1517ad2361c23d
hexbeb1d826205

13104440304133 has 2 divisors, whose sum is σ = 13104440304134. Its totient is φ = 13104440304132.

The previous prime is 13104440304073. The next prime is 13104440304187. The reversal of 13104440304133 is 33140304440131.

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., 9585507026209 + 3518933277924 = 3096047^2 + 1875882^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13104440304133 is a prime.

It is a super-3 number, since 3×131044403041333 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13104440304095 and 13104440304104.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13104440304833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552220152066 + 6552220152067.

It is an arithmetic number, because the mean of its divisors is an integer number (6552220152067).

Almost surely, 213104440304133 is an apocalyptic number.

It is an amenable number.

13104440304133 is a deficient number, since it is larger than the sum of its proper divisors (1).

13104440304133 is an equidigital number, since it uses as much as digits as its factorization.

13104440304133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13104440304133 its reverse (33140304440131), we get a palindrome (46244744744264).

The spelling of 13104440304133 in words is "thirteen trillion, one hundred four billion, four hundred forty million, three hundred four thousand, one hundred thirty-three".