13231232312033 has 2 divisors, whose sum is σ = 13231232312034. Its totient is φ = 13231232312032.

The previous prime is 13231232312021. The next prime is 13231232312041. The reversal of 13231232312033 is 33021323213231.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11607730768144 + 1623501543889 = 3407012^2 + 1274167^2 .

It is a cyclic number.

It is not a de Polignac number, because 13231232312033 - 2³⁴ = 13214052442849 is a prime.

It is a super-2 number, since 2×13231232312033² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13231232311987 and 13231232312005.

It is not a weakly prime, because it can be changed into another prime (13231232312083) 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, 6615616156016 + 6615616156017.

It is an arithmetic number, because the mean of its divisors is an integer number (6615616156017).

Almost surely, 2^{13231232312033} is an apocalyptic number.

It is an amenable number.

13231232312033 is a deficient number, since it is larger than the sum of its proper divisors (1).

13231232312033 is an equidigital number, since it uses as much as digits as its factorization.

13231232312033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 13231232312033 its reverse (33021323213231), we get a palindrome (46252555525264).

The spelling of 13231232312033 in words is "thirteen trillion, two hundred thirty-one billion, two hundred thirty-two million, three hundred twelve thousand, thirty-three".