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313214330413 is a prime number
BaseRepresentation
bin1001000111011010000…
…01110110011000101101
31002221110110000120021001
410203231001312120231
520112430332033123
6355515542040301
731425512611105
oct4435501663055
91087413016231
10313214330413
11110919362326
1250852a19091
13236c773452a
1411234140205
15823284b0ad
hex48ed07662d

313214330413 has 2 divisors, whose sum is σ = 313214330414. Its totient is φ = 313214330412.

The previous prime is 313214330381. The next prime is 313214330447. The reversal of 313214330413 is 314033412313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 299939142889 + 13275187524 = 547667^2 + 115218^2 .

It is an emirp because it is prime and its reverse (314033412313) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 313214330413 - 25 = 313214330381 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313214330483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156607165206 + 156607165207.

It is an arithmetic number, because the mean of its divisors is an integer number (156607165207).

Almost surely, 2313214330413 is an apocalyptic number.

It is an amenable number.

313214330413 is a deficient number, since it is larger than the sum of its proper divisors (1).

313214330413 is an equidigital number, since it uses as much as digits as its factorization.

313214330413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 313214330413 its reverse (314033412313), we get a palindrome (627247742726).

The spelling of 313214330413 in words is "three hundred thirteen billion, two hundred fourteen million, three hundred thirty thousand, four hundred thirteen".