1331003200301 has 2 divisors, whose sum is σ = 1331003200302. Its totient is φ = 1331003200300.

The previous prime is 1331003200273. The next prime is 1331003200333. The reversal of 1331003200301 is 1030023001331.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1205527141225 + 125476059076 = 1097965^2 + 354226^2 .

It is an emirp because it is prime and its reverse (1030023001331) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1331003200301 - 2³⁸ = 1056125293357 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1331003200301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1331003200601) 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, 665501600150 + 665501600151.

It is an arithmetic number, because the mean of its divisors is an integer number (665501600151).

Almost surely, 2^{1331003200301} is an apocalyptic number.

It is an amenable number.

1331003200301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1331003200301 is an equidigital number, since it uses as much as digits as its factorization.

1331003200301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1331003200301 its reverse (1030023001331), we get a palindrome (2361026201632).

The spelling of 1331003200301 in words is "one trillion, three hundred thirty-one billion, three million, two hundred thousand, three hundred one".