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2012013013 is a prime number
BaseRepresentation
bin111011111101100…
…1110000111010101
312012012221211222111
41313323032013111
513110033404023
6531352231021
7100600554103
oct16773160725
95165854874
102012013013
1194280217a
1248199b471
13260ac225a
14151304c73
15bb98700d
hex77ece1d5

2012013013 has 2 divisors, whose sum is σ = 2012013014. Its totient is φ = 2012013012.

The previous prime is 2012012983. The next prime is 2012013023. The reversal of 2012013013 is 3103102102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2008653124 + 3359889 = 44818^2 + 1833^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012013013 - 29 = 2012012501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2012012984 and 2012013002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012013023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006006506 + 1006006507.

It is an arithmetic number, because the mean of its divisors is an integer number (1006006507).

Almost surely, 22012013013 is an apocalyptic number.

It is an amenable number.

2012013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012013013 is an equidigital number, since it uses as much as digits as its factorization.

2012013013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2012013013 is about 44855.4680390251. The cubic root of 2012013013 is about 1262.4385907195.

Adding to 2012013013 its reverse (3103102102), we get a palindrome (5115115115).

It can be divided in two parts, 20120 and 13013, that added together give a palindrome (33133).

The spelling of 2012013013 in words is "two billion, twelve million, thirteen thousand, thirteen".