Search a number
-
+
13331413301 is a prime number
BaseRepresentation
bin11000110101001110…
…10011100100110101
31021102002101222001012
430122213103210311
5204300320211201
610042510242005
7651236100113
oct143247234465
937362358035
1013331413301
115721265148
1227007b6305
131345c4ab4b
14906798ab3
155305b85bb
hex31a9d3935

13331413301 has 2 divisors, whose sum is σ = 13331413302. Its totient is φ = 13331413300.

The previous prime is 13331413283. The next prime is 13331413357. The reversal of 13331413301 is 10331413331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12842782276 + 488631025 = 113326^2 + 22105^2 .

It is a cyclic number.

It is not a de Polignac number, because 13331413301 - 214 = 13331396917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13331413201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6665706650 + 6665706651.

It is an arithmetic number, because the mean of its divisors is an integer number (6665706651).

Almost surely, 213331413301 is an apocalyptic number.

It is an amenable number.

13331413301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13331413301 is an equidigital number, since it uses as much as digits as its factorization.

13331413301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13331413301 its reverse (10331413331), we get a palindrome (23662826632).

The spelling of 13331413301 in words is "thirteen billion, three hundred thirty-one million, four hundred thirteen thousand, three hundred one".