Search a number
-
+
13131001412341 is a prime number
BaseRepresentation
bin1011111100010100110010…
…1011001011101011110101
31201111022102001202210101021
42333011030223023223311
53210114242330143331
643532144311301141
72523453312261301
oct277051453135365
951438361683337
1013131001412341
11420290aa7782a
121580a6197a7b1
1374332c172c17
143357884c8d01
1517b87a3aa211
hexbf14cacbaf5

13131001412341 has 2 divisors, whose sum is σ = 13131001412342. Its totient is φ = 13131001412340.

The previous prime is 13131001412339. The next prime is 13131001412363. The reversal of 13131001412341 is 14321410013131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10741704722116 + 2389296690225 = 3277454^2 + 1545735^2 .

It is a cyclic number.

It is not a de Polignac number, because 13131001412341 - 21 = 13131001412339 is a prime.

Together with 13131001412339, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13131001412941) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565500706170 + 6565500706171.

It is an arithmetic number, because the mean of its divisors is an integer number (6565500706171).

Almost surely, 213131001412341 is an apocalyptic number.

It is an amenable number.

13131001412341 is a deficient number, since it is larger than the sum of its proper divisors (1).

13131001412341 is an equidigital number, since it uses as much as digits as its factorization.

13131001412341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 13131001412341 its reverse (14321410013131), we get a palindrome (27452411425472).

The spelling of 13131001412341 in words is "thirteen trillion, one hundred thirty-one billion, one million, four hundred twelve thousand, three hundred forty-one".