Search a number
-
+
13031528833 is a prime number
BaseRepresentation
bin11000010001011110…
…10101100110000001
31020122012010020220001
430020233111212001
5203142032410313
65553034520001
7640635111301
oct141057254601
936565106801
1013031528833
115587a5a544
122638296001
1312c8a9080b
148b8a15601
155140cdadd
hex308bd5981

13031528833 has 2 divisors, whose sum is σ = 13031528834. Its totient is φ = 13031528832.

The previous prime is 13031528831. The next prime is 13031528843. The reversal of 13031528833 is 33882513031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12551393089 + 480135744 = 112033^2 + 21912^2 .

It is an emirp because it is prime and its reverse (33882513031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13031528833 - 21 = 13031528831 is a prime.

Together with 13031528831, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13031528792 and 13031528801.

It is not a weakly prime, because it can be changed into another prime (13031528831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6515764416 + 6515764417.

It is an arithmetic number, because the mean of its divisors is an integer number (6515764417).

Almost surely, 213031528833 is an apocalyptic number.

It is an amenable number.

13031528833 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031528833 is an equidigital number, since it uses as much as digits as its factorization.

13031528833 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 13031528833 in words is "thirteen billion, thirty-one million, five hundred twenty-eight thousand, eight hundred thirty-three".