11102131320013 has 2 divisors, whose sum is σ = 11102131320014. Its totient is φ = 11102131320012.

The previous prime is 11102131320011. The next prime is 11102131320019. The reversal of 11102131320013 is 31002313120111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8218645445124 + 2883485874889 = 2866818^2 + 1698083^2 .

It is a cyclic number.

It is not a de Polignac number, because 11102131320013 - 2¹ = 11102131320011 is a prime.

Together with 11102131320011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11102131320011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5551065660006 + 5551065660007.

It is an arithmetic number, because the mean of its divisors is an integer number (5551065660007).

Almost surely, 2^{11102131320013} is an apocalyptic number.

It is an amenable number.

11102131320013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11102131320013 is an equidigital number, since it uses as much as digits as its factorization.

11102131320013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 11102131320013 its reverse (31002313120111), we get a palindrome (42104444440124).

The spelling of 11102131320013 in words is "eleven trillion, one hundred two billion, one hundred thirty-one million, three hundred twenty thousand, thirteen".