Search a number
-
+
13036513129 is a prime number
BaseRepresentation
bin11000010010000100…
…10110011101101001
31020122112111111001121
430021002112131221
5203144321410004
65553333415241
7641025350623
oct141102263551
936575444047
1013036513129
11558a8542a2
122639a9a521
1312c9b173c3
148b9551c13
15514765854
hex309096769

13036513129 has 2 divisors, whose sum is σ = 13036513130. Its totient is φ = 13036513128.

The previous prime is 13036513037. The next prime is 13036513157. The reversal of 13036513129 is 92131563031.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9343155600 + 3693357529 = 96660^2 + 60773^2 .

It is an emirp because it is prime and its reverse (92131563031) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13036513129 - 233 = 4446578537 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13036513094 and 13036513103.

It is not a weakly prime, because it can be changed into another prime (13036513829) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6518256564 + 6518256565.

It is an arithmetic number, because the mean of its divisors is an integer number (6518256565).

Almost surely, 213036513129 is an apocalyptic number.

It is an amenable number.

13036513129 is a deficient number, since it is larger than the sum of its proper divisors (1).

13036513129 is an equidigital number, since it uses as much as digits as its factorization.

13036513129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14580, while the sum is 34.

The spelling of 13036513129 in words is "thirteen billion, thirty-six million, five hundred thirteen thousand, one hundred twenty-nine".