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1332331302101 is a prime number
BaseRepresentation
bin10011011000110101001…
…000100100110011010101
311201100222110101202212112
4103120311020210303111
5133312103303131401
62500021535400405
7165154261132352
oct23306510446325
94640873352775
101332331302101
11474047316a78
1219626b083105
139883b474227
14486b148d629
15249cc5553bb
hex13635224cd5

1332331302101 has 2 divisors, whose sum is σ = 1332331302102. Its totient is φ = 1332331302100.

The previous prime is 1332331302079. The next prime is 1332331302139. The reversal of 1332331302101 is 1012031332331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 984996700900 + 347334601201 = 992470^2 + 589351^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1332331302101 is a prime.

It is a super-2 number, since 2×13323313021012 (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1332331302151) 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, 666165651050 + 666165651051.

It is an arithmetic number, because the mean of its divisors is an integer number (666165651051).

Almost surely, 21332331302101 is an apocalyptic number.

It is an amenable number.

1332331302101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1332331302101 is an equidigital number, since it uses as much as digits as its factorization.

1332331302101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1332331302101 its reverse (1012031332331), we get a palindrome (2344362634432).

The spelling of 1332331302101 in words is "one trillion, three hundred thirty-two billion, three hundred thirty-one million, three hundred two thousand, one hundred one".