1302302133001 has 2 divisors, whose sum is σ = 1302302133002. Its totient is φ = 1302302133000.

The previous prime is 1302302132983. The next prime is 1302302133007. The reversal of 1302302133001 is 1003312032031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 857246367376 + 445055765625 = 925876^2 + 667125^2 .

It is a cyclic number.

It is not a de Polignac number, because 1302302133001 - 2⁵ = 1302302132969 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1302302133001.

It is not a weakly prime, because it can be changed into another prime (1302302133007) 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, 651151066500 + 651151066501.

It is an arithmetic number, because the mean of its divisors is an integer number (651151066501).

Almost surely, 2^{1302302133001} is an apocalyptic number.

It is an amenable number.

1302302133001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1302302133001 is an equidigital number, since it uses as much as digits as its factorization.

1302302133001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1302302133001 its reverse (1003312032031), we get a palindrome (2305614165032).

The spelling of 1302302133001 in words is "one trillion, three hundred two billion, three hundred two million, one hundred thirty-three thousand, one".