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1332110101013 is a prime number
BaseRepresentation
bin10011011000100111111…
…100110000101000010101
311201100102001011121000122
4103120213330300220111
5133311130141213023
62455543554321325
7165145634014256
oct23304774605025
94640361147018
101332110101013
11473a4347335a
12196208b89245
13988046a5c03
144868dd4cb2d
15249b7e0e2c8
hex13627f30a15

1332110101013 has 2 divisors, whose sum is σ = 1332110101014. Its totient is φ = 1332110101012.

The previous prime is 1332110100967. The next prime is 1332110101037. The reversal of 1332110101013 is 3101010112331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1327246851844 + 4863249169 = 1152062^2 + 69737^2 .

It is a cyclic number.

It is not a de Polignac number, because 1332110101013 - 210 = 1332110099989 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1332110100982 and 1332110101000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1332110101213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 666055050506 + 666055050507.

It is an arithmetic number, because the mean of its divisors is an integer number (666055050507).

Almost surely, 21332110101013 is an apocalyptic number.

It is an amenable number.

1332110101013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1332110101013 is an equidigital number, since it uses as much as digits as its factorization.

1332110101013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1332110101013 its reverse (3101010112331), we get a palindrome (4433120213344).

The spelling of 1332110101013 in words is "one trillion, three hundred thirty-two billion, one hundred ten million, one hundred one thousand, thirteen".