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13213313231 is a prime number
BaseRepresentation
bin11000100111001001…
…10010100011001111
31021002212011212012112
430103210302203033
5204030102010411
610023051054235
7645303211046
oct142344624317
937085155175
1013213313231
115670630888
12268914137b
13132763a951
148d4c1555d
1552503ab8b
hex3139328cf

13213313231 has 2 divisors, whose sum is σ = 13213313232. Its totient is φ = 13213313230.

The previous prime is 13213313167. The next prime is 13213313249. The reversal of 13213313231 is 13231331231.

13213313231 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13213313231 - 26 = 13213313167 is a prime.

It is a super-2 number, since 2×132133132312 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13213313197 and 13213313206.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13213313251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6606656615 + 6606656616.

It is an arithmetic number, because the mean of its divisors is an integer number (6606656616).

Almost surely, 213213313231 is an apocalyptic number.

13213313231 is a deficient number, since it is larger than the sum of its proper divisors (1).

13213313231 is an equidigital number, since it uses as much as digits as its factorization.

13213313231 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 972, while the sum is 23.

Adding to 13213313231 its reverse (13231331231), we get a palindrome (26444644462).

The spelling of 13213313231 in words is "thirteen billion, two hundred thirteen million, three hundred thirteen thousand, two hundred thirty-one".