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1012124001313 is a prime number
BaseRepresentation
bin11101011101001110100…
…10101010010000100001
310120202110122212111122201
432232213102222100201
5113040312221020223
62052544025533201
7133060243030435
oct16564722522041
93522418774581
101012124001313
1136026a681597
121441a6344201
137459b028609
1436db67029c5
151b4dad2cead
hexeba74aa421

1012124001313 has 2 divisors, whose sum is σ = 1012124001314. Its totient is φ = 1012124001312.

The previous prime is 1012124001311. The next prime is 1012124001353. The reversal of 1012124001313 is 3131004212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 812464271424 + 199659729889 = 901368^2 + 446833^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012124001313 - 21 = 1012124001311 is a prime.

Together with 1012124001311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1012124001311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506062000656 + 506062000657.

It is an arithmetic number, because the mean of its divisors is an integer number (506062000657).

Almost surely, 21012124001313 is an apocalyptic number.

It is an amenable number.

1012124001313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012124001313 is an equidigital number, since it uses as much as digits as its factorization.

1012124001313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 1012124001313 its reverse (3131004212101), we get a palindrome (4143128213414).

The spelling of 1012124001313 in words is "one trillion, twelve billion, one hundred twenty-four million, one thousand, three hundred thirteen".