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313213120301 is a prime number
BaseRepresentation
bin1001000111011001111…
…01001110111100101101
31002221110100202002022002
410203230331032330231
520112430024322201
6355515500102045
731425466411064
oct4435475167455
91087410662262
10313213120301
11110918706134
1250852534925
13236c73cc7a3
1411233d071db
1582326ac76b
hex48ecf4ef2d

313213120301 has 2 divisors, whose sum is σ = 313213120302. Its totient is φ = 313213120300.

The previous prime is 313213120289. The next prime is 313213120331. The reversal of 313213120301 is 103021312313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 280130967076 + 33082153225 = 529274^2 + 181885^2 .

It is an emirp because it is prime and its reverse (103021312313) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313213120301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313213120331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156606560150 + 156606560151.

It is an arithmetic number, because the mean of its divisors is an integer number (156606560151).

Almost surely, 2313213120301 is an apocalyptic number.

It is an amenable number.

313213120301 is a deficient number, since it is larger than the sum of its proper divisors (1).

313213120301 is an equidigital number, since it uses as much as digits as its factorization.

313213120301 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 313213120301 its reverse (103021312313), we get a palindrome (416234432614).

The spelling of 313213120301 in words is "three hundred thirteen billion, two hundred thirteen million, one hundred twenty thousand, three hundred one".