Search a number
-
+
13173126131101 is a prime number
BaseRepresentation
bin1011111110110001101110…
…0000001110110110011101
31201122100010210212020002011
42333230123200032312131
53211312030242143401
644003352310231221
72526504226420366
oct277543340166635
951570123766064
1013173126131101
114219767307492
121589059355511
137472b3489501
14337822d38b6d
1517c9e368d451
hexbfb1b80ed9d

13173126131101 has 2 divisors, whose sum is σ = 13173126131102. Its totient is φ = 13173126131100.

The previous prime is 13173126131093. The next prime is 13173126131119. The reversal of 13173126131101 is 10113162137131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13097088620100 + 76037511001 = 3618990^2 + 275749^2 .

It is a cyclic number.

It is not a de Polignac number, because 13173126131101 - 23 = 13173126131093 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13173126131141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6586563065550 + 6586563065551.

It is an arithmetic number, because the mean of its divisors is an integer number (6586563065551).

Almost surely, 213173126131101 is an apocalyptic number.

It is an amenable number.

13173126131101 is a deficient number, since it is larger than the sum of its proper divisors (1).

13173126131101 is an equidigital number, since it uses as much as digits as its factorization.

13173126131101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2268, while the sum is 31.

Adding to 13173126131101 its reverse (10113162137131), we get a palindrome (23286288268232).

The spelling of 13173126131101 in words is "thirteen trillion, one hundred seventy-three billion, one hundred twenty-six million, one hundred thirty-one thousand, one hundred one".