Search a number
-
+
13135103055091 is a prime number
BaseRepresentation
bin1011111100100100000100…
…1001101101010011110011
31201111200222220201211110201
42333021001021231103303
53210201142340230331
643534103311540031
72523660045541363
oct277110111552363
951450886654421
1013135103055091
114204625274726
12158180752a617
13743833b61a74
14335a5713a9a3
1517ba1a50ba61
hexbf24126d4f3

13135103055091 has 2 divisors, whose sum is σ = 13135103055092. Its totient is φ = 13135103055090.

The previous prime is 13135103055017. The next prime is 13135103055133. The reversal of 13135103055091 is 19055030153131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13135103055091 - 213 = 13135103046899 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13135103055091.

It is not a weakly prime, because it can be changed into another prime (13135103055791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6567551527545 + 6567551527546.

It is an arithmetic number, because the mean of its divisors is an integer number (6567551527546).

Almost surely, 213135103055091 is an apocalyptic number.

13135103055091 is a deficient number, since it is larger than the sum of its proper divisors (1).

13135103055091 is an equidigital number, since it uses as much as digits as its factorization.

13135103055091 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30375, while the sum is 37.

The spelling of 13135103055091 in words is "thirteen trillion, one hundred thirty-five billion, one hundred three million, fifty-five thousand, ninety-one".