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1012201213013 is a prime number
BaseRepresentation
bin11101011101010111110…
…01001100110001010101
310120202200001011021012022
432232223321030301111
5113040442002304023
62052555424502525
7133062201231434
oct16565371146125
93522601137168
101012201213013
113602aa218911
1214420817aa45
13745b1020803
1436dc2a8111b
151b4e29d07c8
hexebabe4cc55

1012201213013 has 2 divisors, whose sum is σ = 1012201213014. Its totient is φ = 1012201213012.

The previous prime is 1012201212977. The next prime is 1012201213031. The reversal of 1012201213013 is 3103121022101.

Together with next prime (1012201213031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 811283908369 + 200917304644 = 900713^2 + 448238^2 .

It is an emirp because it is prime and its reverse (3103121022101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1012201213013 - 236 = 943481736277 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1012201212982 and 1012201213000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012201213073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506100606506 + 506100606507.

It is an arithmetic number, because the mean of its divisors is an integer number (506100606507).

Almost surely, 21012201213013 is an apocalyptic number.

It is an amenable number.

1012201213013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012201213013 is an equidigital number, since it uses as much as digits as its factorization.

1012201213013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 1012201213013 its reverse (3103121022101), we get a palindrome (4115322235114).

The spelling of 1012201213013 in words is "one trillion, twelve billion, two hundred one million, two hundred thirteen thousand, thirteen".