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1310320023013 is a prime number
BaseRepresentation
bin10011000100010101001…
…010001101010111100101
311122021011110021221101201
4103010111022031113211
5132432013411214023
62441541441322501
7163444644266131
oct23042512152745
94567143257351
101310320023013
11465781547231
12191b47636431
13967411a3431
14475c40143c1
152413ee49bad
hex1311528d5e5

1310320023013 has 2 divisors, whose sum is σ = 1310320023014. Its totient is φ = 1310320023012.

The previous prime is 1310320023011. The next prime is 1310320023029. The reversal of 1310320023013 is 3103200230131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1156179766564 + 154140256449 = 1075258^2 + 392607^2 .

It is a cyclic number.

It is not a de Polignac number, because 1310320023013 - 21 = 1310320023011 is a prime.

Together with 1310320023011, 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 (1310320023011) 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, 655160011506 + 655160011507.

It is an arithmetic number, because the mean of its divisors is an integer number (655160011507).

Almost surely, 21310320023013 is an apocalyptic number.

It is an amenable number.

1310320023013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1310320023013 is an equidigital number, since it uses as much as digits as its factorization.

1310320023013 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 19.

Adding to 1310320023013 its reverse (3103200230131), we get a palindrome (4413520253144).

The spelling of 1310320023013 in words is "one trillion, three hundred ten billion, three hundred twenty million, twenty-three thousand, thirteen".