13031222100233 has 2 divisors, whose sum is σ = 13031222100234. Its totient is φ = 13031222100232.

The previous prime is 13031222100217. The next prime is 13031222100251. The reversal of 13031222100233 is 33200122213031.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12271758653449 + 759463446784 = 3503107^2 + 871472^2 .

It is a cyclic number.

It is not a de Polignac number, because 13031222100233 - 2⁴ = 13031222100217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13031222100199 and 13031222100208.

It is not a weakly prime, because it can be changed into another prime (13031222100133) 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, 6515611050116 + 6515611050117.

It is an arithmetic number, because the mean of its divisors is an integer number (6515611050117).

Almost surely, 2^{13031222100233} is an apocalyptic number.

It is an amenable number.

13031222100233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13031222100233 is an equidigital number, since it uses as much as digits as its factorization.

13031222100233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13031222100233 its reverse (33200122213031), we get a palindrome (46231344313264).

The spelling of 13031222100233 in words is "thirteen trillion, thirty-one billion, two hundred twenty-two million, one hundred thousand, two hundred thirty-three".