13101312133109 has 2 divisors, whose sum is σ = 13101312133110. Its totient is φ = 13101312133108.

The previous prime is 13101312133087. The next prime is 13101312133123. The reversal of 13101312133109 is 90133121310131.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13100418302500 + 893830609 = 3619450^2 + 29897^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13101312133109 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13101312133199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6550656066554 + 6550656066555.

It is an arithmetic number, because the mean of its divisors is an integer number (6550656066555).

Almost surely, 2^{13101312133109} is an apocalyptic number.

It is an amenable number.

13101312133109 is a deficient number, since it is larger than the sum of its proper divisors (1).

13101312133109 is an equidigital number, since it uses as much as digits as its factorization.

13101312133109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 29.

The spelling of 13101312133109 in words is "thirteen trillion, one hundred one billion, three hundred twelve million, one hundred thirty-three thousand, one hundred nine".