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320113311013 is a prime number
BaseRepresentation
bin1001010100010000011…
…11010111110100100101
31010121021020200002111001
410222020033113310211
520221043001423023
6403020311113301
732061464151136
oct4521017276445
91117236602431
10320113311013
11113839689591
1252059372831
1324256b2a982
14116ca4c1c8d
1584d835d6ad
hex4a883d7d25

320113311013 has 2 divisors, whose sum is σ = 320113311014. Its totient is φ = 320113311012.

The previous prime is 320113310893. The next prime is 320113311113. The reversal of 320113311013 is 310113311023.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309455226369 + 10658084644 = 556287^2 + 103238^2 .

It is a cyclic number.

It is not a de Polignac number, because 320113311013 - 29 = 320113310501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (320113311113) 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, 160056655506 + 160056655507.

It is an arithmetic number, because the mean of its divisors is an integer number (160056655507).

Almost surely, 2320113311013 is an apocalyptic number.

It is an amenable number.

320113311013 is a deficient number, since it is larger than the sum of its proper divisors (1).

320113311013 is an equidigital number, since it uses as much as digits as its factorization.

320113311013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 320113311013 its reverse (310113311023), we get a palindrome (630226622036).

It can be divided in two parts, 320113 and 311013, that added together give a triangular number (631126 = T1123).

The spelling of 320113311013 in words is "three hundred twenty billion, one hundred thirteen million, three hundred eleven thousand, thirteen".