13321331101073 has 2 divisors, whose sum is σ = 13321331101074. Its totient is φ = 13321331101072.

The previous prime is 13321331101061. The next prime is 13321331101081. The reversal of 13321331101073 is 37010113312331.

It is a happy number.

13321331101073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11823027802369 + 1498303298704 = 3438463^2 + 1224052^2 .

It is a cyclic number.

It is not a de Polignac number, because 13321331101073 - 2⁶ = 13321331101009 is a prime.

It is a super-3 number, since 3×13321331101073³ (a number of 40 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (13321331121073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6660665550536 + 6660665550537.

It is an arithmetic number, because the mean of its divisors is an integer number (6660665550537).

Almost surely, 2^{13321331101073} is an apocalyptic number.

It is an amenable number.

13321331101073 is a deficient number, since it is larger than the sum of its proper divisors (1).

13321331101073 is an equidigital number, since it uses as much as digits as its factorization.

13321331101073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3402, while the sum is 29.

The spelling of 13321331101073 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-one million, one hundred one thousand, seventy-three".