1233431320013 has 2 divisors, whose sum is σ = 1233431320014. Its totient is φ = 1233431320012.

The previous prime is 1233431320003. The next prime is 1233431320039. The reversal of 1233431320013 is 3100231343321.

It is an a-pointer prime, because the next prime (1233431320039) can be obtained adding 1233431320013 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 872828668009 + 360602652004 = 934253^2 + 600502^2 .

It is a cyclic number.

It is not a de Polignac number, because 1233431320013 - 2¹⁰ = 1233431318989 is a prime.

It is a super-3 number, since 3×1233431320013³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1233431320003) 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, 616715660006 + 616715660007.

It is an arithmetic number, because the mean of its divisors is an integer number (616715660007).

Almost surely, 2^{1233431320013} is an apocalyptic number.

It is an amenable number.

1233431320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1233431320013 is an equidigital number, since it uses as much as digits as its factorization.

1233431320013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 1233431320013 its reverse (3100231343321), we get a palindrome (4333662663334).

The spelling of 1233431320013 in words is "one trillion, two hundred thirty-three billion, four hundred thirty-one million, three hundred twenty thousand, thirteen".