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1312311137 is a prime number
BaseRepresentation
bin100111000111000…
…0100011101100001
310101110100022110012
41032032010131201
510141422424022
6334115214305
744343313664
oct11616043541
93343308405
101312311137
11613846865
123075a7395
1317bb58787
14c64076db
157a322de2
hex4e384761

1312311137 has 2 divisors, whose sum is σ = 1312311138. Its totient is φ = 1312311136.

The previous prime is 1312311101. The next prime is 1312311139. The reversal of 1312311137 is 7311132131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 929091361 + 383219776 = 30481^2 + 19576^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1312311137 is a prime.

Together with 1312311139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1312311139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 656155568 + 656155569.

It is an arithmetic number, because the mean of its divisors is an integer number (656155569).

Almost surely, 21312311137 is an apocalyptic number.

It is an amenable number.

1312311137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1312311137 is an equidigital number, since it uses as much as digits as its factorization.

1312311137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 378, while the sum is 23.

The square root of 1312311137 is about 36225.8352146641. The cubic root of 1312311137 is about 1094.8272663180.

Adding to 1312311137 its reverse (7311132131), we get a palindrome (8623443268).

The spelling of 1312311137 in words is "one billion, three hundred twelve million, three hundred eleven thousand, one hundred thirty-seven".