Search a number
-
+
13131044013167 is a prime number
BaseRepresentation
bin1011111100010100111100…
…1101101100010001101111
31201111022112000221010201122
42333011033031230101233
53210114334231410132
643532152432331155
72523454340341043
oct277051715542157
951438460833648
1013131044013167
114202932024423
121580a740a3abb
13743337c3a502
14335790018023
1517b87dec2912
hexbf14f36c46f

13131044013167 has 2 divisors, whose sum is σ = 13131044013168. Its totient is φ = 13131044013166.

The previous prime is 13131044013083. The next prime is 13131044013209. The reversal of 13131044013167 is 76131044013131.

It is a strong prime.

It is an emirp because it is prime and its reverse (76131044013131) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13131044013167 - 232 = 13126749045871 is a prime.

It is a super-3 number, since 3×131310440131673 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131044010167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565522006583 + 6565522006584.

It is an arithmetic number, because the mean of its divisors is an integer number (6565522006584).

Almost surely, 213131044013167 is an apocalyptic number.

13131044013167 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131044013167 is an equidigital number, since it uses as much as digits as its factorization.

13131044013167 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 35.

Adding to 13131044013167 its reverse (76131044013131), we get a palindrome (89262088026298).

The spelling of 13131044013167 in words is "thirteen trillion, one hundred thirty-one billion, forty-four million, thirteen thousand, one hundred sixty-seven".