1013320133321 has 2 divisors, whose sum is σ = 1013320133322. Its totient is φ = 1013320133320.

The previous prime is 1013320133291. The next prime is 1013320133333. The reversal of 1013320133321 is 1233310233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 622931347600 + 390388785721 = 789260^2 + 624811^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013320133321 - 2⁶ = 1013320133257 is a prime.

It is not a weakly prime, because it can be changed into another prime (1013320183321) 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, 506660066660 + 506660066661.

It is an arithmetic number, because the mean of its divisors is an integer number (506660066661).

Almost surely, 2^{1013320133321} is an apocalyptic number.

It is an amenable number.

1013320133321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013320133321 is an equidigital number, since it uses as much as digits as its factorization.

1013320133321 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 1013320133321 its reverse (1233310233101), we get a palindrome (2246630366422).

The spelling of 1013320133321 in words is "one trillion, thirteen billion, three hundred twenty million, one hundred thirty-three thousand, three hundred twenty-one".