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13211430013 is a prime number
BaseRepresentation
bin11000100110111011…
…00110110001111101
31021002201122011220201
430103131212301331
5204024111230023
610022542443501
7645251205445
oct142335466175
937081564821
1013211430013
11566a564a01
122688593591
13132712b712
148d4885125
15524cb7bad
hex313766c7d

13211430013 has 2 divisors, whose sum is σ = 13211430014. Its totient is φ = 13211430012.

The previous prime is 13211429983. The next prime is 13211430017. The reversal of 13211430013 is 31003411231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12214007289 + 997422724 = 110517^2 + 31582^2 .

It is a cyclic number.

It is not a de Polignac number, because 13211430013 - 25 = 13211429981 is a prime.

It is a super-3 number, since 3×132114300133 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13211430017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6605715006 + 6605715007.

It is an arithmetic number, because the mean of its divisors is an integer number (6605715007).

Almost surely, 213211430013 is an apocalyptic number.

It is an amenable number.

13211430013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13211430013 is an equidigital number, since it uses as much as digits as its factorization.

13211430013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13211430013 its reverse (31003411231), we get a palindrome (44214841244).

The spelling of 13211430013 in words is "thirteen billion, two hundred eleven million, four hundred thirty thousand, thirteen".