13111100101291 has 2 divisors, whose sum is σ = 13111100101292. Its totient is φ = 13111100101290.

The previous prime is 13111100101289. The next prime is 13111100101373. The reversal of 13111100101291 is 19210100111131.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 13111100101291 - 2¹ = 13111100101289 is a prime.

Together with 13111100101289, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13111100101591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6555550050645 + 6555550050646.

It is an arithmetic number, because the mean of its divisors is an integer number (6555550050646).

Almost surely, 2^{13111100101291} is an apocalyptic number.

13111100101291 is a deficient number, since it is larger than the sum of its proper divisors (1).

13111100101291 is an equidigital number, since it uses as much as digits as its factorization.

13111100101291 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 22.

The spelling of 13111100101291 in words is "thirteen trillion, one hundred eleven billion, one hundred million, one hundred one thousand, two hundred ninety-one".