13101301310233 has 2 divisors, whose sum is σ = 13101301310234. Its totient is φ = 13101301310232.

The previous prime is 13101301310159. The next prime is 13101301310263. The reversal of 13101301310233 is 33201310310131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12482958133129 + 618343177104 = 3533123^2 + 786348^2 .

It is a cyclic number.

It is not a de Polignac number, because 13101301310233 - 2⁹ = 13101301309721 is a prime.

It is not a weakly prime, because it can be changed into another prime (13101301310263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550650655116 + 6550650655117.

It is an arithmetic number, because the mean of its divisors is an integer number (6550650655117).

Almost surely, 2^{13101301310233} is an apocalyptic number.

It is an amenable number.

13101301310233 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101301310233 is an equidigital number, since it uses as much as digits as its factorization.

13101301310233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 13101301310233 its reverse (33201310310131), we get a palindrome (46302611620364).

The spelling of 13101301310233 in words is "thirteen trillion, one hundred one billion, three hundred one million, three hundred ten thousand, two hundred thirty-three".