Search a number
-
+
13131301232041 is a prime number
BaseRepresentation
bin1011111100010101111010…
…0010111001110110101001
31201111100011221221012200121
42333011132202321312221
53210120401103411131
643532234141403241
72523463612560226
oct277053642716651
951440157835617
1013131301232041
114202a54238803
121580b26269521
13743379309925
143357b625294d
1517b896880911
hexbf15e8b9da9

13131301232041 has 2 divisors, whose sum is σ = 13131301232042. Its totient is φ = 13131301232040.

The previous prime is 13131301232039. The next prime is 13131301232123. The reversal of 13131301232041 is 14023210313131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10002064060816 + 3129237171225 = 3162604^2 + 1768965^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131301232041 - 21 = 13131301232039 is a prime.

Together with 13131301232039, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 13131301231997 and 13131301232015.

It is not a weakly prime, because it can be changed into another prime (13131301232941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565650616020 + 6565650616021.

It is an arithmetic number, because the mean of its divisors is an integer number (6565650616021).

Almost surely, 213131301232041 is an apocalyptic number.

It is an amenable number.

13131301232041 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131301232041 is an equidigital number, since it uses as much as digits as its factorization.

13131301232041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 25.

Adding to 13131301232041 its reverse (14023210313131), we get a palindrome (27154511545172).

The spelling of 13131301232041 in words is "thirteen trillion, one hundred thirty-one billion, three hundred one million, two hundred thirty-two thousand, forty-one".