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12313103137 is a prime number
BaseRepresentation
bin10110111011110101…
…10000101100100001
31011210010021110002221
423131322300230201
5200204123300022
65353452311041
7614062435606
oct133572605441
934703243087
1012313103137
1152494756a5
122477772481
131212c9c75a
1484b4426ad
154c0ebbcc7
hex2ddeb0b21

12313103137 has 2 divisors, whose sum is σ = 12313103138. Its totient is φ = 12313103136.

The previous prime is 12313103059. The next prime is 12313103147. The reversal of 12313103137 is 73130131321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11747091456 + 566011681 = 108384^2 + 23791^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12313103137 is a prime.

It is a super-2 number, since 2×123131031372 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12313103147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156551568 + 6156551569.

It is an arithmetic number, because the mean of its divisors is an integer number (6156551569).

Almost surely, 212313103137 is an apocalyptic number.

It is an amenable number.

12313103137 is a deficient number, since it is larger than the sum of its proper divisors (1).

12313103137 is an equidigital number, since it uses as much as digits as its factorization.

12313103137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1134, while the sum is 25.

Adding to 12313103137 its reverse (73130131321), we get a palindrome (85443234458).

The spelling of 12313103137 in words is "twelve billion, three hundred thirteen million, one hundred three thousand, one hundred thirty-seven".