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1331242224401 is a prime number
BaseRepresentation
bin10011010111110100001…
…110000100101100010001
311201021011120002220010102
4103113310032010230101
5133302341002140101
62455321512542145
7165115265126615
oct23276416045421
94637146086112
101331242224401
11473638591861
121960063b1955
13986c6948b5b
144860a995345
1524966b2a86b
hex135f4384b11

1331242224401 has 2 divisors, whose sum is σ = 1331242224402. Its totient is φ = 1331242224400.

The previous prime is 1331242224373. The next prime is 1331242224413. The reversal of 1331242224401 is 1044222421331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 984062016001 + 347180208400 = 991999^2 + 589220^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1331242224401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1331242224451) 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, 665621112200 + 665621112201.

It is an arithmetic number, because the mean of its divisors is an integer number (665621112201).

Almost surely, 21331242224401 is an apocalyptic number.

It is an amenable number.

1331242224401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331242224401 is an equidigital number, since it uses as much as digits as its factorization.

1331242224401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 1331242224401 its reverse (1044222421331), we get a palindrome (2375464645732).

The spelling of 1331242224401 in words is "one trillion, three hundred thirty-one billion, two hundred forty-two million, two hundred twenty-four thousand, four hundred one".