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313012120013 is a prime number
BaseRepresentation
bin1001000111000001111…
…10011110100111001101
31002220221100112012201222
410203200332132213031
520112022100320023
6355443520013125
731420506056315
oct4434076364715
91086840465658
10313012120013
111108251aa69a
12507b71611a5
13236948850c8
1411215344445
15821ec06cc8
hex48e0f9e9cd

313012120013 has 2 divisors, whose sum is σ = 313012120014. Its totient is φ = 313012120012.

The previous prime is 313012120009. The next prime is 313012120051. The reversal of 313012120013 is 310021210313.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309823597924 + 3188522089 = 556618^2 + 56467^2 .

It is a cyclic number.

It is not a de Polignac number, because 313012120013 - 22 = 313012120009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313012119973 and 313012120000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (313012120093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156506060006 + 156506060007.

It is an arithmetic number, because the mean of its divisors is an integer number (156506060007).

Almost surely, 2313012120013 is an apocalyptic number.

It is an amenable number.

313012120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

313012120013 is an equidigital number, since it uses as much as digits as its factorization.

313012120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 313012120013 its reverse (310021210313), we get a palindrome (623033330326).

The spelling of 313012120013 in words is "three hundred thirteen billion, twelve million, one hundred twenty thousand, thirteen".