13101312133003 has 2 divisors, whose sum is σ = 13101312133004. Its totient is φ = 13101312133002.

The previous prime is 13101312132917. The next prime is 13101312133009. The reversal of 13101312133003 is 30033121310131.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13101312133003 is a prime.

It is not a weakly prime, because it can be changed into another prime (13101312133009) 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, 6550656066501 + 6550656066502.

It is an arithmetic number, because the mean of its divisors is an integer number (6550656066502).

Almost surely, 2^{13101312133003} is an apocalyptic number.

13101312133003 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101312133003 is an equidigital number, since it uses as much as digits as its factorization.

13101312133003 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 13101312133003 its reverse (30033121310131), we get a palindrome (43134433443134).

The spelling of 13101312133003 in words is "thirteen trillion, one hundred one billion, three hundred twelve million, one hundred thirty-three thousand, three".