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13130461837 is a prime number
BaseRepresentation
bin11000011101010001…
…01111001010001101
31020220002021120110101
430032220233022031
5203342344234322
610010531211101
7643246040563
oct141650571215
936802246411
1013130461837
115628892359
122665446a91
13131341c75c
148c7c09a33
1551cb22327
hex30ea2f28d

13130461837 has 2 divisors, whose sum is σ = 13130461838. Its totient is φ = 13130461836.

The previous prime is 13130461807. The next prime is 13130461843. The reversal of 13130461837 is 73816403131.

13130461837 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12284175556 + 846286281 = 110834^2 + 29091^2 .

It is a cyclic number.

It is not a de Polignac number, because 13130461837 - 215 = 13130429069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13130461796 and 13130461805.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13130461807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6565230918 + 6565230919.

It is an arithmetic number, because the mean of its divisors is an integer number (6565230919).

Almost surely, 213130461837 is an apocalyptic number.

It is an amenable number.

13130461837 is a deficient number, since it is larger than the sum of its proper divisors (1).

13130461837 is an equidigital number, since it uses as much as digits as its factorization.

13130461837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 37.

Adding to 13130461837 its reverse (73816403131), we get a palindrome (86946864968).

The spelling of 13130461837 in words is "thirteen billion, one hundred thirty million, four hundred sixty-one thousand, eight hundred thirty-seven".