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13063036031 is a prime number
BaseRepresentation
bin11000010101001111…
…00001110001111111
31020201101101222122022
430022213201301333
5203223114123111
610000122110355
7641466655103
oct141247416177
936641358568
1013063036031
1155a381a351
12264694b3bb
131302472826
148bcc97903
15516c542db
hex30a9e1c7f

13063036031 has 2 divisors, whose sum is σ = 13063036032. Its totient is φ = 13063036030.

The previous prime is 13063035983. The next prime is 13063036061.

13063036031 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 13063036031 - 218 = 13062773887 is a prime.

It is a super-2 number, since 2×130630360312 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13063036061) 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, 6531518015 + 6531518016.

It is an arithmetic number, because the mean of its divisors is an integer number (6531518016).

Almost surely, 213063036031 is an apocalyptic number.

13063036031 is a deficient number, since it is larger than the sum of its proper divisors (1).

13063036031 is an equidigital number, since it uses as much as digits as its factorization.

13063036031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 26.

It can be divided in two parts, 130630 and 36031, that added together give a palindrome (166661).

The spelling of 13063036031 in words is "thirteen billion, sixty-three million, thirty-six thousand, thirty-one".