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1330231313993 is a prime number
BaseRepresentation
bin10011010110110111111…
…101110000011001001001
311201011120002220022202012
4103112313331300121021
5133243303204021433
62455033321345305
7165051241415141
oct23266775603111
94634502808665
101330231313993
1147316999690a
12195983938235
139859538b90a
1448552607921
1524907ee1848
hex135b7f70649

1330231313993 has 2 divisors, whose sum is σ = 1330231313994. Its totient is φ = 1330231313992.

The previous prime is 1330231313987. The next prime is 1330231314023. The reversal of 1330231313993 is 3993131320331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1306053551929 + 24177762064 = 1142827^2 + 155492^2 .

It is a cyclic number.

It is not a de Polignac number, because 1330231313993 - 240 = 230719686217 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1330231313993.

It is not a weakly prime, because it can be changed into another prime (1330231313953) 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, 665115656996 + 665115656997.

It is an arithmetic number, because the mean of its divisors is an integer number (665115656997).

Almost surely, 21330231313993 is an apocalyptic number.

It is an amenable number.

1330231313993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1330231313993 is an equidigital number, since it uses as much as digits as its factorization.

1330231313993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 118098, while the sum is 41.

The spelling of 1330231313993 in words is "one trillion, three hundred thirty billion, two hundred thirty-one million, three hundred thirteen thousand, nine hundred ninety-three".