Search a number
-
+
2013201301 is a prime number
BaseRepresentation
bin111011111111111…
…0000001110010101
312012022012020000011
41313333300032111
513110334420201
6531433520221
7100613633356
oct16777601625
95168166004
102013201301
11943443a31
12482273071
1326111a097
14151533d2d
15bbb1e151
hex77ff0395

2013201301 has 2 divisors, whose sum is σ = 2013201302. Its totient is φ = 2013201300.

The previous prime is 2013201299. The next prime is 2013201331. The reversal of 2013201301 is 1031023102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1798608100 + 214593201 = 42410^2 + 14649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2013201301 - 21 = 2013201299 is a prime.

Together with 2013201299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2013201331) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006600650 + 1006600651.

It is an arithmetic number, because the mean of its divisors is an integer number (1006600651).

Almost surely, 22013201301 is an apocalyptic number.

It is an amenable number.

2013201301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2013201301 is an equidigital number, since it uses as much as digits as its factorization.

2013201301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2013201301 is about 44868.7118268399. The cubic root of 2013201301 is about 1262.6870724456.

Adding to 2013201301 its reverse (1031023102), we get a palindrome (3044224403).

The spelling of 2013201301 in words is "two billion, thirteen million, two hundred one thousand, three hundred one".