Search a number
-
+
313503404301313 is a prime number
BaseRepresentation
bin100011101001000010011001…
…1000011001001110000000001
31112010000122002021110020211221
41013102010303003021300001
5312042414433000120223
63030433250430035041
7123014605420301632
oct10722046303116001
91463018067406757
10313503404301313
119098a057790676
122b1b3087948a81
13105c13235ab875
14575b907c4b889
152639e22930b5d
hex11d21330c9c01

313503404301313 has 2 divisors, whose sum is σ = 313503404301314. Its totient is φ = 313503404301312.

The previous prime is 313503404301229. The next prime is 313503404301371. The reversal of 313503404301313 is 313103404305313.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 310089841359424 + 3413562941889 = 17609368^2 + 1847583^2 .

It is a cyclic number.

It is not a de Polignac number, because 313503404301313 - 241 = 311304381045761 is a prime.

It is not a weakly prime, because it can be changed into another prime (313503404302313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156751702150656 + 156751702150657.

It is an arithmetic number, because the mean of its divisors is an integer number (156751702150657).

Almost surely, 2313503404301313 is an apocalyptic number.

It is an amenable number.

313503404301313 is a deficient number, since it is larger than the sum of its proper divisors (1).

313503404301313 is an equidigital number, since it uses as much as digits as its factorization.

313503404301313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58320, while the sum is 34.

Adding to 313503404301313 its reverse (313103404305313), we get a palindrome (626606808606626).

The spelling of 313503404301313 in words is "three hundred thirteen trillion, five hundred three billion, four hundred four million, three hundred one thousand, three hundred thirteen".